Atkin-Lehner |
3- 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
25389c |
Isogeny class |
Conductor |
25389 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7424 |
Modular degree for the optimal curve |
Δ |
-14395563 = -1 · 36 · 72 · 13 · 31 |
Discriminant |
Eigenvalues |
-2 3- -2 7+ 3 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,9,182] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:3:1] [9:31:1] |
Generators of the group modulo torsion |
j |
110592/19747 |
j-invariant |
L |
3.8921259182906 |
L(r)(E,1)/r! |
Ω |
1.7155667372675 |
Real period |
R |
0.56717786515381 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2821a1 |
Quadratic twists by: -3 |