Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7623m |
Isogeny class |
Conductor |
7623 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
29534580983061 = 39 · 7 · 118 |
Discriminant |
Eigenvalues |
0 3- 3 7- 11- -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7986,-84186] |
[a1,a2,a3,a4,a6] |
j |
360448/189 |
j-invariant |
L |
2.1412851933843 |
L(r)(E,1)/r! |
Ω |
0.53532129834608 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968es1 2541k1 53361bb1 7623e1 |
Quadratic twists by: -4 -3 -7 -11 |