Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490i |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-1.142191677341E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 3 4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,538941,-57131435] |
[a1,a2,a3,a4,a6] |
Generators |
[3635:221615:1] |
Generators of the group modulo torsion |
j |
722458663317/476656000 |
j-invariant |
L |
5.3847072628153 |
L(r)(E,1)/r! |
Ω |
0.12916908697661 |
Real period |
R |
1.7369697947196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005679 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86490bw2 2790f1 |
Quadratic twists by: -3 -31 |