Atkin-Lehner |
5- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
7315f |
Isogeny class |
Conductor |
7315 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
484047265625 = 58 · 72 · 113 · 19 |
Discriminant |
Eigenvalues |
1 0 5- 7- 11+ -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-26024,-1609045] |
[a1,a2,a3,a4,a6] |
j |
1949194826613160281/484047265625 |
j-invariant |
L |
1.5035633226178 |
L(r)(E,1)/r! |
Ω |
0.37589083065444 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117040bz1 65835y1 36575d1 51205e1 |
Quadratic twists by: -4 -3 5 -7 |