Atkin-Lehner |
3- 5- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
25365h |
Isogeny class |
Conductor |
25365 |
Conductor |
∏ cp |
125 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
167345603353125 = 35 · 55 · 195 · 89 |
Discriminant |
Eigenvalues |
-2 3- 5- 3 2 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-13910,102056] |
[a1,a2,a3,a4,a6] |
j |
297670860885569536/167345603353125 |
j-invariant |
L |
2.4736173804707 |
L(r)(E,1)/r! |
Ω |
0.49472347609416 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
76095h1 126825d1 |
Quadratic twists by: -3 5 |