Atkin-Lehner |
2- 3+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
127794bb |
Isogeny class |
Conductor |
127794 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
497702292327235584 = 220 · 32 · 197 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-199099,4058441] |
[a1,a2,a3,a4,a6] |
Generators |
[-287:6280:1] |
Generators of the group modulo torsion |
j |
18552800685817/10579083264 |
j-invariant |
L |
6.9808514265191 |
L(r)(E,1)/r! |
Ω |
0.25250089934642 |
Real period |
R |
2.7646837966995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999652882 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6726c1 |
Quadratic twists by: -19 |