Atkin-Lehner |
2- 3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
42600x |
Isogeny class |
Conductor |
42600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73920 |
Modular degree for the optimal curve |
Δ |
970481250000 = 24 · 37 · 58 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 1 4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13083,578412] |
[a1,a2,a3,a4,a6] |
j |
39627704320/155277 |
j-invariant |
L |
1.7690244797263 |
L(r)(E,1)/r! |
Ω |
0.88451223981674 |
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 |
85200bd1 127800z1 42600g1 |
Quadratic twists by: -4 -3 5 |