Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
52038o |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.4152995161887E+22 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1888354953,-31583995034355] |
[a1,a2,a3,a4,a6] |
Generators |
[785498977196492083265724487653:167619013628775916528011349624279:10329472215662841254938653] |
Generators of the group modulo torsion |
j |
8682780835539571156494337/165018482786304 |
j-invariant |
L |
4.3950669179619 |
L(r)(E,1)/r! |
Ω |
0.022902276163309 |
Real period |
R |
47.976311247647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17346be2 7434e2 |
Quadratic twists by: -3 -7 |