Atkin-Lehner |
2- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
125800i |
Isogeny class |
Conductor |
125800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3956736 |
Modular degree for the optimal curve |
Δ |
16707812500000000 = 28 · 514 · 172 · 37 |
Discriminant |
Eigenvalues |
2- 3 5+ -3 3 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2059300,1137420500] |
[a1,a2,a3,a4,a6] |
Generators |
[26940:235450:27] |
Generators of the group modulo torsion |
j |
241447425671310336/4176953125 |
j-invariant |
L |
13.057372816156 |
L(r)(E,1)/r! |
Ω |
0.35849010690453 |
Real period |
R |
4.5529056019137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999146121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25160d1 |
Quadratic twists by: 5 |