Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121520cc |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19353600 |
Modular degree for the optimal curve |
Δ |
2.1491360370239E+22 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 3 -1 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36200563,83536941362] |
[a1,a2,a3,a4,a6] |
j |
31741495052096367/130023424000 |
j-invariant |
L |
4.374764988204 |
L(r)(E,1)/r! |
Ω |
0.12152129416394 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15190g1 121520ct1 |
Quadratic twists by: -4 -7 |