Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650v |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
626688 |
Modular degree for the optimal curve |
Δ |
29739531250000 = 24 · 510 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ -3 5+ -2 11- 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-103417,-12772259] |
[a1,a2,a3,a4,a6] |
Generators |
[-186:143:1] |
Generators of the group modulo torsion |
j |
534701144241/130000 |
j-invariant |
L |
1.7032387821729 |
L(r)(E,1)/r! |
Ω |
0.26623044022895 |
Real period |
R |
1.5994027398926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15730z1 78650cb1 |
Quadratic twists by: 5 -11 |