Atkin-Lehner |
2- 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
121024w |
Isogeny class |
Conductor |
121024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-3841785856 = -1 · 216 · 312 · 61 |
Discriminant |
Eigenvalues |
2- 2 1 3 3 -5 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225,3329] |
[a1,a2,a3,a4,a6] |
Generators |
[5:48:1] |
Generators of the group modulo torsion |
j |
-19307236/58621 |
j-invariant |
L |
13.346625693393 |
L(r)(E,1)/r! |
Ω |
1.2274628718832 |
Real period |
R |
1.3591679641856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121024c1 30256d1 |
Quadratic twists by: -4 8 |