Atkin-Lehner |
2+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
83776j |
Isogeny class |
Conductor |
83776 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-2896303788224 = -1 · 26 · 76 · 113 · 172 |
Discriminant |
Eigenvalues |
2+ -3 -1 7+ 11- 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1627828,-799394006] |
[a1,a2,a3,a4,a6] |
Generators |
[11890:64141:8] |
Generators of the group modulo torsion |
j |
-7453654902730081529856/45254746691 |
j-invariant |
L |
2.5331918149532 |
L(r)(E,1)/r! |
Ω |
0.066829379724435 |
Real period |
R |
3.1587801444203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008304 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83776bj1 1309a1 |
Quadratic twists by: -4 8 |