Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
96600bq |
Isogeny class |
Conductor |
96600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
274560 |
Modular degree for the optimal curve |
Δ |
-182532268800 = -1 · 28 · 311 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 -2 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56348,-5129628] |
[a1,a2,a3,a4,a6] |
Generators |
[138076:51306818:1] |
Generators of the group modulo torsion |
j |
-3091626087530320/28520667 |
j-invariant |
L |
6.7986116025019 |
L(r)(E,1)/r! |
Ω |
0.15493482640122 |
Real period |
R |
10.970115230089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010886 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96600bk1 |
Quadratic twists by: 5 |