Atkin-Lehner |
2+ 7- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
91504b |
Isogeny class |
Conductor |
91504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10880 |
Modular degree for the optimal curve |
Δ |
1738576 = 24 · 7 · 192 · 43 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -4 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-94,-345] |
[a1,a2,a3,a4,a6] |
Generators |
[105255:1261810:729] |
Generators of the group modulo torsion |
j |
5740996608/108661 |
j-invariant |
L |
7.218359870702 |
L(r)(E,1)/r! |
Ω |
1.5350297885712 |
Real period |
R |
9.404846634318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000542 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45752a1 |
Quadratic twists by: -4 |