Atkin-Lehner |
2+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
7120d |
Isogeny class |
Conductor |
7120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
633680 = 24 · 5 · 892 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 4 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31,66] |
[a1,a2,a3,a4,a6] |
Generators |
[30:152:27] |
Generators of the group modulo torsion |
j |
212629504/39605 |
j-invariant |
L |
5.2884763040075 |
L(r)(E,1)/r! |
Ω |
2.7420853057136 |
Real period |
R |
3.8572660689936 |
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 |
3560d1 28480bp1 64080k1 35600d1 |
Quadratic twists by: -4 8 -3 5 |