Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34650bv |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3628800 |
Modular degree for the optimal curve |
Δ |
-1.4325763422289E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12858867,-25425320459] |
[a1,a2,a3,a4,a6] |
j |
-825741822267180625/503072076283392 |
j-invariant |
L |
0.77571911866973 |
L(r)(E,1)/r! |
Ω |
0.038785955934067 |
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 |
11550bz1 34650cs1 |
Quadratic twists by: -3 5 |