Atkin-Lehner |
3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31605v |
Isogeny class |
Conductor |
31605 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-92198580075 = -1 · 36 · 52 · 76 · 43 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 1 -5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-882016,318538840] |
[a1,a2,a3,a4,a6] |
Generators |
[569:-1103:1] |
Generators of the group modulo torsion |
j |
-645008376471556096/783675 |
j-invariant |
L |
2.9812583865007 |
L(r)(E,1)/r! |
Ω |
0.68026153465787 |
Real period |
R |
0.18260491459363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94815bi1 645d1 |
Quadratic twists by: -3 -7 |