Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400bf |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-338256000000 = -1 · 210 · 36 · 56 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 3 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18075,-935750] |
[a1,a2,a3,a4,a6] |
Generators |
[1305044602719:23553245464714:3436115229] |
Generators of the group modulo torsion |
j |
-55990084/29 |
j-invariant |
L |
8.2638596850484 |
L(r)(E,1)/r! |
Ω |
0.2058668836745 |
Real period |
R |
20.070881575384 |
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 |
52200ca1 11600a1 4176h1 |
Quadratic twists by: -4 -3 5 |