Atkin-Lehner |
2- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
65702ba |
Isogeny class |
Conductor |
65702 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
997920 |
Modular degree for the optimal curve |
Δ |
-15651154439543168 = -1 · 27 · 7 · 135 · 196 |
Discriminant |
Eigenvalues |
2- -3 0 7- -5 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8010,-6023415] |
[a1,a2,a3,a4,a6] |
Generators |
[461:-9617:1] |
Generators of the group modulo torsion |
j |
-1207949625/332678528 |
j-invariant |
L |
4.7337814413346 |
L(r)(E,1)/r! |
Ω |
0.17560006999734 |
Real period |
R |
0.38511060485204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
182e1 |
Quadratic twists by: -19 |