Atkin-Lehner |
2- 3+ 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
61380c |
Isogeny class |
Conductor |
61380 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
8131200 |
Modular degree for the optimal curve |
Δ |
-2.9850733537676E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 11+ -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33149808,38898011476] |
[a1,a2,a3,a4,a6] |
j |
582858366388897883553792/431868251413134765625 |
j-invariant |
L |
1.1253819333579 |
L(r)(E,1)/r! |
Ω |
0.051153724248564 |
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 |
61380a1 |
Quadratic twists by: -3 |