Atkin-Lehner |
2- 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
126616k |
Isogeny class |
Conductor |
126616 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-210942256 = -1 · 24 · 74 · 172 · 19 |
Discriminant |
Eigenvalues |
2- -2 -3 7+ -5 -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,33,706] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:21:1] [23:119:1] |
Generators of the group modulo torsion |
j |
100352/5491 |
j-invariant |
L |
5.5840561527988 |
L(r)(E,1)/r! |
Ω |
1.3521385443817 |
Real period |
R |
0.34414965371646 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000019504 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126616o1 |
Quadratic twists by: -7 |