Atkin-Lehner |
2+ 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125902i |
Isogeny class |
Conductor |
125902 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-1963765006336 = -1 · 218 · 72 · 172 · 232 |
Discriminant |
Eigenvalues |
2+ 0 -3 7- -6 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2914,28948] |
[a1,a2,a3,a4,a6] |
Generators |
[1:178:1] [12:250:1] |
Generators of the group modulo torsion |
j |
5171932477143/3712221184 |
j-invariant |
L |
6.7502992911222 |
L(r)(E,1)/r! |
Ω |
0.52736963558542 |
Real period |
R |
1.5999924062676 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999990015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125902b1 |
Quadratic twists by: -23 |