Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25270v |
Isogeny class |
Conductor |
25270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
71136 |
Modular degree for the optimal curve |
Δ |
-41609729450450 = -1 · 2 · 52 · 72 · 198 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -5 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2715,314867] |
[a1,a2,a3,a4,a6] |
Generators |
[62:4309:8] |
Generators of the group modulo torsion |
j |
-130321/2450 |
j-invariant |
L |
9.2739947898605 |
L(r)(E,1)/r! |
Ω |
0.54198289513081 |
Real period |
R |
4.2778078760318 |
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 |
126350u1 25270h1 |
Quadratic twists by: 5 -19 |