Atkin-Lehner |
2- 3+ 37- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
97236g |
Isogeny class |
Conductor |
97236 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
157440 |
Modular degree for the optimal curve |
Δ |
-33135976342512 = -1 · 24 · 33 · 37 · 735 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 1 -1 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5751,-220283] |
[a1,a2,a3,a4,a6] |
Generators |
[13711292:345036189:21952] |
Generators of the group modulo torsion |
j |
48693396416256/76703648941 |
j-invariant |
L |
8.7373707851736 |
L(r)(E,1)/r! |
Ω |
0.34629086718956 |
Real period |
R |
12.615652902467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97236h1 |
Quadratic twists by: -3 |