Atkin-Lehner |
2- 3- 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590by |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
388800 |
Modular degree for the optimal curve |
Δ |
2272799398392000 = 26 · 36 · 53 · 19 · 295 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 5 2 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-56777,-4660599] |
[a1,a2,a3,a4,a6] |
j |
27765553597261129/3117694648000 |
j-invariant |
L |
5.6077537364009 |
L(r)(E,1)/r! |
Ω |
0.31154187423382 |
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 |
5510b1 |
Quadratic twists by: -3 |