Atkin-Lehner |
2- 3- 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49770bn |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
4777173450000 = 24 · 37 · 55 · 7 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13253,-574419] |
[a1,a2,a3,a4,a6] |
j |
353108405631241/6553050000 |
j-invariant |
L |
3.5637146180853 |
L(r)(E,1)/r! |
Ω |
0.44546432732413 |
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 |
16590e1 |
Quadratic twists by: -3 |