Atkin-Lehner |
5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7595h |
Isogeny class |
Conductor |
7595 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-91177975 = -1 · 52 · 76 · 31 |
Discriminant |
Eigenvalues |
-1 -2 5- 7- 4 0 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-50,475] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:26:1] |
Generators of the group modulo torsion |
j |
-117649/775 |
j-invariant |
L |
2.0784576103883 |
L(r)(E,1)/r! |
Ω |
1.6419734878112 |
Real period |
R |
0.63291448547044 |
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 |
121520cz1 68355m1 37975a1 155b1 |
Quadratic twists by: -4 -3 5 -7 |