Atkin-Lehner |
2+ 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
7320b |
Isogeny class |
Conductor |
7320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-5621760 = -1 · 211 · 32 · 5 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 4 5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,-180] |
[a1,a2,a3,a4,a6] |
j |
-9653618/2745 |
j-invariant |
L |
1.7173448757375 |
L(r)(E,1)/r! |
Ω |
0.85867243786875 |
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 |
14640l1 58560bp1 21960w1 36600bc1 |
Quadratic twists by: -4 8 -3 5 |