Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
36414l |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
47158272 |
Modular degree for the optimal curve |
Δ |
-3.9777465596769E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -3 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5165165559,142914510138717] |
[a1,a2,a3,a4,a6] |
Generators |
[63232689:9313996362:2197] |
Generators of the group modulo torsion |
j |
-80913561311713458589803/21119419346321408 |
j-invariant |
L |
4.6173861756095 |
L(r)(E,1)/r! |
Ω |
0.042964456018264 |
Real period |
R |
13.433738616535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36414cb1 36414a1 |
Quadratic twists by: -3 17 |