Atkin-Lehner |
2+ 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39950f |
Isogeny class |
Conductor |
39950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
1466914062500 = 22 · 510 · 17 · 472 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 6 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6317,185841] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:631:1] |
Generators of the group modulo torsion |
j |
1784329222689/93882500 |
j-invariant |
L |
4.0004453553756 |
L(r)(E,1)/r! |
Ω |
0.83900513793728 |
Real period |
R |
2.3840410353222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7990d1 |
Quadratic twists by: 5 |