Atkin-Lehner |
3- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7659c |
Isogeny class |
Conductor |
7659 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2640 |
Modular degree for the optimal curve |
Δ |
14268717 = 36 · 232 · 37 |
Discriminant |
Eigenvalues |
2 3- 0 -3 -1 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-255,-1557] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:9:8] |
Generators of the group modulo torsion |
j |
2515456000/19573 |
j-invariant |
L |
7.558495895112 |
L(r)(E,1)/r! |
Ω |
1.1952762022831 |
Real period |
R |
3.1618197872067 |
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 |
122544x1 851a1 |
Quadratic twists by: -4 -3 |