Atkin-Lehner |
2+ 3+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
74382g |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1584000 |
Modular degree for the optimal curve |
Δ |
80899096574951424 = 225 · 34 · 76 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 11- -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3033517,2032300957] |
[a1,a2,a3,a4,a6] |
j |
26240674555395219529/687630974976 |
j-invariant |
L |
0.63568347421629 |
L(r)(E,1)/r! |
Ω |
0.31784174337724 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1518i1 |
Quadratic twists by: -7 |