Atkin-Lehner |
2+ 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
59926d |
Isogeny class |
Conductor |
59926 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-5638542929612 = -1 · 22 · 198 · 83 |
Discriminant |
Eigenvalues |
2+ -3 0 1 1 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,113,114217] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-373:1] |
Generators of the group modulo torsion |
j |
3375/119852 |
j-invariant |
L |
2.6483188471291 |
L(r)(E,1)/r! |
Ω |
0.60091621438728 |
Real period |
R |
1.1017837360421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3154d1 |
Quadratic twists by: -19 |