Atkin-Lehner |
2+ 3- 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
77910x |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
2596608 |
Modular degree for the optimal curve |
Δ |
-2.9928690014842E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,86557,263034398] |
[a1,a2,a3,a4,a6] |
Generators |
[5247:378400:1] |
Generators of the group modulo torsion |
j |
12440939888279/5191625871360 |
j-invariant |
L |
5.9748233867174 |
L(r)(E,1)/r! |
Ω |
0.16257806270591 |
Real period |
R |
0.4375058274998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77910b1 |
Quadratic twists by: -7 |