Atkin-Lehner |
2- 3- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61272m |
Isogeny class |
Conductor |
61272 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
8121600 |
Modular degree for the optimal curve |
Δ |
-2.6369414297524E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -6 -1 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12305481,18285250943] |
[a1,a2,a3,a4,a6] |
j |
17667373228192024648448/22607522545888250903 |
j-invariant |
L |
1.3187037350249 |
L(r)(E,1)/r! |
Ω |
0.065935186946406 |
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 |
122544h1 6808b1 |
Quadratic twists by: -4 -3 |