Atkin-Lehner |
2- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
25024l |
Isogeny class |
Conductor |
25024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-819986432 = -1 · 221 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 1 4 -3 6 -6 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3841,90367] |
[a1,a2,a3,a4,a6] |
Generators |
[63:320:1] |
Generators of the group modulo torsion |
j |
-23912763841/3128 |
j-invariant |
L |
7.5518562302494 |
L(r)(E,1)/r! |
Ω |
1.5297300902267 |
Real period |
R |
1.2341811602088 |
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 |
25024a1 6256d1 |
Quadratic twists by: -4 8 |