Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728em |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5591040 |
Modular degree for the optimal curve |
Δ |
-1.1367787359385E+20 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 2 13+ -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17413536,-27973808548] |
[a1,a2,a3,a4,a6] |
j |
-9122691795384795136/1775882908917 |
j-invariant |
L |
2.6605735149232 |
L(r)(E,1)/r! |
Ω |
0.036952408055261 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22932q1 30576bv1 91728gb1 |
Quadratic twists by: -4 -3 -7 |