Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800br |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-8279884800000000 = -1 · 216 · 35 · 58 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 11- 0 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3167,-4378463] |
[a1,a2,a3,a4,a6] |
Generators |
[161:528:1] |
Generators of the group modulo torsion |
j |
137180/323433 |
j-invariant |
L |
5.3217718772528 |
L(r)(E,1)/r! |
Ω |
0.19218691773574 |
Real period |
R |
2.3075503525272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999736 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800hl1 6600r1 52800cv1 |
Quadratic twists by: -4 8 5 |