Atkin-Lehner |
5- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7315d |
Isogeny class |
Conductor |
7315 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
1178088065 = 5 · 7 · 116 · 19 |
Discriminant |
Eigenvalues |
1 2 5- 7- 11+ -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-457,-3576] |
[a1,a2,a3,a4,a6] |
Generators |
[59411100:-1093474726:185193] |
Generators of the group modulo torsion |
j |
10591472326681/1178088065 |
j-invariant |
L |
7.2237395202988 |
L(r)(E,1)/r! |
Ω |
1.039738314111 |
Real period |
R |
13.895303120526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117040ce1 65835w1 36575c1 51205g1 |
Quadratic twists by: -4 -3 5 -7 |