Atkin-Lehner |
2+ 3- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
97128d |
Isogeny class |
Conductor |
97128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-2014046208 = -1 · 211 · 36 · 19 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 0 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1155,15262] |
[a1,a2,a3,a4,a6] |
Generators |
[38:162:1] |
Generators of the group modulo torsion |
j |
-114133250/1349 |
j-invariant |
L |
7.2488670985281 |
L(r)(E,1)/r! |
Ω |
1.4788903754623 |
Real period |
R |
2.450779049209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10792a1 |
Quadratic twists by: -3 |