Atkin-Lehner |
2+ 7- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48314m |
Isogeny class |
Conductor |
48314 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-1033868450547968 = -1 · 28 · 710 · 17 · 292 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 1 -7 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,22760,813632] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:248:1] |
Generators of the group modulo torsion |
j |
4615622375/3660032 |
j-invariant |
L |
2.5599505252699 |
L(r)(E,1)/r! |
Ω |
0.31692731745341 |
Real period |
R |
2.0193514287745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48314a1 |
Quadratic twists by: -7 |