Atkin-Lehner |
2+ 3- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37944f |
Isogeny class |
Conductor |
37944 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
5432832 |
Modular degree for the optimal curve |
Δ |
4.1465561798783E+24 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74243226,-225895067111] |
[a1,a2,a3,a4,a6] |
Generators |
[-316284876132002:-3716122197343941:53072595512] |
Generators of the group modulo torsion |
j |
3880133825326557297276928/355500358357194958653 |
j-invariant |
L |
5.2410849351717 |
L(r)(E,1)/r! |
Ω |
0.05173383907528 |
Real period |
R |
16.884773515281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
75888m1 12648f1 |
Quadratic twists by: -4 -3 |