Atkin-Lehner |
2+ 3+ 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
36024a |
Isogeny class |
Conductor |
36024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15040 |
Modular degree for the optimal curve |
Δ |
1418120784 = 24 · 310 · 19 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-419,2904] |
[a1,a2,a3,a4,a6] |
j |
509661571072/88632549 |
j-invariant |
L |
1.4459703469965 |
L(r)(E,1)/r! |
Ω |
1.4459703469975 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72048h1 108072l1 |
Quadratic twists by: -4 -3 |