Atkin-Lehner |
5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
109025k |
Isogeny class |
Conductor |
109025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-163605640625 = -1 · 56 · 76 · 89 |
Discriminant |
Eigenvalues |
1 -1 5+ 7- -2 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1250,-26375] |
[a1,a2,a3,a4,a6] |
Generators |
[342:25:8] |
Generators of the group modulo torsion |
j |
-117649/89 |
j-invariant |
L |
5.637287085469 |
L(r)(E,1)/r! |
Ω |
0.38866143265401 |
Real period |
R |
3.6260911299355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999849041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4361c1 2225a1 |
Quadratic twists by: 5 -7 |