Atkin-Lehner |
2+ 3+ 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
25254d |
Isogeny class |
Conductor |
25254 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1258560 |
Modular degree for the optimal curve |
Δ |
122544700803514368 = 223 · 39 · 233 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -3 5 4 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18741822,31234238612] |
[a1,a2,a3,a4,a6] |
Generators |
[19982:-8749:8] |
Generators of the group modulo torsion |
j |
36988597059166669309875/6225915805696 |
j-invariant |
L |
3.8051280389169 |
L(r)(E,1)/r! |
Ω |
0.25989548971972 |
Real period |
R |
2.4401654956385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25254m1 |
Quadratic twists by: -3 |