Atkin-Lehner |
2- 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
42924d |
Isogeny class |
Conductor |
42924 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
-389479736427264 = -1 · 28 · 311 · 76 · 73 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 -4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2395381,-1427753209] |
[a1,a2,a3,a4,a6] |
j |
-50468394519494656/12931731 |
j-invariant |
L |
1.3348994924813 |
L(r)(E,1)/r! |
Ω |
0.060677249657732 |
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 |
128772f1 876a1 |
Quadratic twists by: -3 -7 |