Atkin-Lehner |
3- 5+ 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
70965f |
Isogeny class |
Conductor |
70965 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
160693760 |
Modular degree for the optimal curve |
Δ |
-4.0947812738355E+32 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,8414083392,-927154593121662] |
[a1,a2,a3,a4,a6] |
Generators |
[5009915880054429401813005030889334357413419363304:4126888148194163182856685822126924158870556304204183:7499464459339651806032495054099245975444759] |
Generators of the group modulo torsion |
j |
90368405569009412192707253633024/561698391472639942944638671875 |
j-invariant |
L |
4.2332022698262 |
L(r)(E,1)/r! |
Ω |
0.0084080379306457 |
Real period |
R |
62.933860205319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23655e1 |
Quadratic twists by: -3 |