Atkin-Lehner |
2+ 7- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
118286f |
Isogeny class |
Conductor |
118286 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2654208 |
Modular degree for the optimal curve |
Δ |
-1250202259996928 = -1 · 28 · 77 · 174 · 71 |
Discriminant |
Eigenvalues |
2+ 1 -4 7- -3 7 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-923823,341694882] |
[a1,a2,a3,a4,a6] |
Generators |
[711:6308:1] [519:1188:1] |
Generators of the group modulo torsion |
j |
-741141458284085209/10626543872 |
j-invariant |
L |
8.1379468974403 |
L(r)(E,1)/r! |
Ω |
0.44263782642598 |
Real period |
R |
1.1490696258315 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999901665 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16898a1 |
Quadratic twists by: -7 |