Atkin-Lehner |
3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
53235y |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-2002392629055 = -1 · 312 · 5 · 73 · 133 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -6 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3127,9416] |
[a1,a2,a3,a4,a6] |
Generators |
[36:-428:1] [54:1373:8] |
Generators of the group modulo torsion |
j |
2111932187/1250235 |
j-invariant |
L |
5.9447593045026 |
L(r)(E,1)/r! |
Ω |
0.50491441029282 |
Real period |
R |
1.9622993466206 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17745x1 53235bh1 |
Quadratic twists by: -3 13 |