Atkin-Lehner |
3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
22725b |
Isogeny class |
Conductor |
22725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
93600 |
Modular degree for the optimal curve |
Δ |
19413896484375 = 39 · 510 · 101 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -3 -2 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68555,-6888428] |
[a1,a2,a3,a4,a6] |
Generators |
[-1186:643:8] |
Generators of the group modulo torsion |
j |
185371875/101 |
j-invariant |
L |
2.1439266475307 |
L(r)(E,1)/r! |
Ω |
0.29505601205793 |
Real period |
R |
3.6330841601523 |
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 |
22725d1 22725e1 |
Quadratic twists by: -3 5 |