Atkin-Lehner |
5- 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
7885b |
Isogeny class |
Conductor |
7885 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3240 |
Modular degree for the optimal curve |
Δ |
2846485 = 5 · 193 · 83 |
Discriminant |
Eigenvalues |
-2 -3 5- -2 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-37,30] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:9:1] |
Generators of the group modulo torsion |
j |
5601816576/2846485 |
j-invariant |
L |
1.3856211678285 |
L(r)(E,1)/r! |
Ω |
2.2480623246397 |
Real period |
R |
0.20545414490835 |
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 |
126160j1 70965g1 39425b1 |
Quadratic twists by: -4 -3 5 |