Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
37296cl |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-3382719750144 = -1 · 213 · 313 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -6 4 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2517,73946] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:162:1] |
Generators of the group modulo torsion |
j |
590589719/1132866 |
j-invariant |
L |
5.2383485438145 |
L(r)(E,1)/r! |
Ω |
0.54678491836512 |
Real period |
R |
2.3950681373386 |
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 |
4662k1 12432bj1 |
Quadratic twists by: -4 -3 |