Atkin-Lehner |
2- 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31080x |
Isogeny class |
Conductor |
31080 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3048192 |
Modular degree for the optimal curve |
Δ |
-6.5685987264437E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -1 6 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11594416,-19573253680] |
[a1,a2,a3,a4,a6] |
Generators |
[44984:9512556:1] |
Generators of the group modulo torsion |
j |
-168333451585608963148996/64146471937926328125 |
j-invariant |
L |
6.3178824730688 |
L(r)(E,1)/r! |
Ω |
0.04014761030575 |
Real period |
R |
8.7425744160863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62160e1 93240q1 |
Quadratic twists by: -4 -3 |