Atkin-Lehner |
2- 31- |
Signs for the Atkin-Lehner involutions |
Class |
61504bo |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-108296692370108416 = -1 · 212 · 319 |
Discriminant |
Eigenvalues |
2- 0 -2 0 0 4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,119164,0] |
[a1,a2,a3,a4,a6] |
Generators |
[7709038:574518352:357911] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
5.3323884498356 |
L(r)(E,1)/r! |
Ω |
0.19958180676473 |
Real period |
R |
13.358904141601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997756 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61504bo2 30752e1 61504bp2 |
Quadratic twists by: -4 8 -31 |