Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800l |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-136218201292800 = -1 · 223 · 310 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ 1 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36993,2807937] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:1944:1] |
Generators of the group modulo torsion |
j |
-854307420745/20785248 |
j-invariant |
L |
5.3154469269387 |
L(r)(E,1)/r! |
Ω |
0.58220046740323 |
Real period |
R |
2.2824813893872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999568 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800gy1 1650r1 52800dm2 |
Quadratic twists by: -4 8 5 |