Atkin-Lehner |
2- 3- 11+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
74646bg |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
-61786097839724544 = -1 · 211 · 316 · 11 · 133 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 3 11+ 13+ -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-759281,255125153] |
[a1,a2,a3,a4,a6] |
Generators |
[387:4180:1] |
Generators of the group modulo torsion |
j |
-66405376701432086473/84754592372736 |
j-invariant |
L |
13.911390458265 |
L(r)(E,1)/r! |
Ω |
0.34933732958032 |
Real period |
R |
0.90505061495288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999336 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24882r1 |
Quadratic twists by: -3 |