Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
13200v |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-8279884800 = -1 · 210 · 35 · 52 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- 0 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,32,4388] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-198:1] |
Generators of the group modulo torsion |
j |
137180/323433 |
j-invariant |
L |
6.0014390564287 |
L(r)(E,1)/r! |
Ω |
1.0274210631177 |
Real period |
R |
0.19470884501879 |
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 |
6600s1 52800ec1 39600g1 13200n1 |
Quadratic twists by: -4 8 -3 5 |