Atkin-Lehner |
2+ 3+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
93240d |
Isogeny class |
Conductor |
93240 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-451891609296750000 = -1 · 24 · 39 · 56 · 72 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,54378,-31972239] |
[a1,a2,a3,a4,a6] |
j |
56465363478528/1434904515625 |
j-invariant |
L |
3.4461028757451 |
L(r)(E,1)/r! |
Ω |
0.1435876172475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93240y1 |
Quadratic twists by: -3 |