Atkin-Lehner |
2- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7360u |
Isogeny class |
Conductor |
7360 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
800 |
Modular degree for the optimal curve |
Δ |
-4600000 = -1 · 26 · 55 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- -1 2 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28,86] |
[a1,a2,a3,a4,a6] |
Generators |
[7:25:1] |
Generators of the group modulo torsion |
j |
37933056/71875 |
j-invariant |
L |
4.2829213191075 |
L(r)(E,1)/r! |
Ω |
1.684206164341 |
Real period |
R |
0.50859822387401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7360k1 1840e1 66240ey1 36800cm1 |
Quadratic twists by: -4 8 -3 5 |