Atkin-Lehner |
3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
22725l |
Isogeny class |
Conductor |
22725 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
475200 |
Modular degree for the optimal curve |
Δ |
5.1973921515259E+19 |
Discriminant |
Eigenvalues |
1 3- 5- 3 -2 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1008117,-177160334] |
[a1,a2,a3,a4,a6] |
Generators |
[-21484:721517:64] |
Generators of the group modulo torsion |
j |
397895664015985/182514731247 |
j-invariant |
L |
6.4628606519262 |
L(r)(E,1)/r! |
Ω |
0.15739151319714 |
Real period |
R |
3.4218599850378 |
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 |
7575e1 22725h1 |
Quadratic twists by: -3 5 |