Atkin-Lehner |
2- 3- 5- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
120450ch |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
187 |
Product of Tamagawa factors cp |
deg |
21273120 |
Modular degree for the optimal curve |
Δ |
8.812612588032E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11+ 2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-181729263,-942956998983] |
[a1,a2,a3,a4,a6] |
j |
1699175641155647094693265/2256028822536192 |
j-invariant |
L |
7.689266414121 |
L(r)(E,1)/r! |
Ω |
0.041119078462463 |
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 |
120450f1 |
Quadratic twists by: 5 |