Atkin-Lehner |
2+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
598a |
Isogeny class |
Conductor |
598 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-2627612 = -1 · 22 · 134 · 23 |
Discriminant |
Eigenvalues |
2+ 0 0 0 -2 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-112,492] |
[a1,a2,a3,a4,a6] |
Generators |
[1:19:1] |
Generators of the group modulo torsion |
j |
-156155441625/2627612 |
j-invariant |
L |
1.5698916376309 |
L(r)(E,1)/r! |
Ω |
2.5667675804105 |
Real period |
R |
0.3058110227066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4784e1 19136d1 5382i1 14950t1 |
Quadratic twists by: -4 8 -3 5 |