Atkin-Lehner |
2- 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
7320k |
Isogeny class |
Conductor |
7320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-19764000000000 = -1 · 211 · 34 · 59 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 6 1 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32896,2317420] |
[a1,a2,a3,a4,a6] |
j |
-1922366726113538/9650390625 |
j-invariant |
L |
1.3768872771199 |
L(r)(E,1)/r! |
Ω |
0.68844363855994 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14640k1 58560by1 21960l1 36600k1 |
Quadratic twists by: -4 8 -3 5 |