Atkin-Lehner |
2+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
6808b |
Isogeny class |
Conductor |
6808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
270720 |
Modular degree for the optimal curve |
Δ |
-3.6172036073421E+20 |
Discriminant |
Eigenvalues |
2+ -1 -2 -4 6 -1 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1367276,-677687275] |
[a1,a2,a3,a4,a6] |
Generators |
[21775102:1295045251:6859] |
Generators of the group modulo torsion |
j |
17667373228192024648448/22607522545888250903 |
j-invariant |
L |
2.3906193430541 |
L(r)(E,1)/r! |
Ω |
0.090848389516769 |
Real period |
R |
6.5785958225843 |
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 |
13616e1 54464e1 61272m1 |
Quadratic twists by: -4 8 -3 |