Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55104bh |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-1.7628533534608E+20 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -4 -1 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4070305,3223288511] |
[a1,a2,a3,a4,a6] |
Generators |
[-541:72576:1] |
Generators of the group modulo torsion |
j |
-28448852731909216489/672475186714464 |
j-invariant |
L |
8.2197203728619 |
L(r)(E,1)/r! |
Ω |
0.1802476656091 |
Real period |
R |
0.27144266648981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999637 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55104br1 1722d1 |
Quadratic twists by: -4 8 |