Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7623s |
Isogeny class |
Conductor |
7623 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
185856 |
Modular degree for the optimal curve |
Δ |
193776385829863221 = 317 · 7 · 118 |
Discriminant |
Eigenvalues |
-2 3- -1 7- 11- -6 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-762663,-255481790] |
[a1,a2,a3,a4,a6] |
j |
313944395776/1240029 |
j-invariant |
L |
0.323183784918 |
L(r)(E,1)/r! |
Ω |
0.161591892459 |
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 |
121968eb1 2541h1 53361cb1 7623j1 |
Quadratic twists by: -4 -3 -7 -11 |