Atkin-Lehner |
2+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
91840b |
Isogeny class |
Conductor |
91840 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-3.9864324486689E+20 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 0 0 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2251621,-1616016579] |
[a1,a2,a3,a4,a6] |
Generators |
[40797838140789339303009334791210846724904914532583546173991500374572825010135089140388:12465785716104606181176072858183861030875404988406730422612576978523530264120736309969149:436872272032946545659092783346100672861963786874384093457793614711028336422599851] |
Generators of the group modulo torsion |
j |
-77053050549904731136/24331252738457875 |
j-invariant |
L |
8.2017305087817 |
L(r)(E,1)/r! |
Ω |
0.06064502297215 |
Real period |
R |
135.24160939882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91840bc1 11480f1 |
Quadratic twists by: -4 8 |