Atkin-Lehner |
2+ 5- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
25160d |
Isogeny class |
Conductor |
25160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
164864 |
Modular degree for the optimal curve |
Δ |
1069300000000 = 28 · 58 · 172 · 37 |
Discriminant |
Eigenvalues |
2+ -3 5- 3 3 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82372,9099364] |
[a1,a2,a3,a4,a6] |
Generators |
[158:-170:1] |
Generators of the group modulo torsion |
j |
241447425671310336/4176953125 |
j-invariant |
L |
3.6224926683323 |
L(r)(E,1)/r! |
Ω |
0.80160824829969 |
Real period |
R |
0.070609862189855 |
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 |
50320g1 125800i1 |
Quadratic twists by: -4 5 |