Atkin-Lehner |
5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17825b |
Isogeny class |
Conductor |
17825 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-257215028515625 = -1 · 58 · 23 · 315 |
Discriminant |
Eigenvalues |
-1 1 5+ 1 -6 4 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-44588,3701417] |
[a1,a2,a3,a4,a6] |
Generators |
[101:430:1] |
Generators of the group modulo torsion |
j |
-627419875521529/16461761825 |
j-invariant |
L |
3.4860437025373 |
L(r)(E,1)/r! |
Ω |
0.55171674413021 |
Real period |
R |
0.63185388872566 |
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 |
3565a1 |
Quadratic twists by: 5 |