Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800fp |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-474958725120000 = -1 · 219 · 32 · 54 · 115 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- -1 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7967,1009537] |
[a1,a2,a3,a4,a6] |
Generators |
[717:-19360:1] [-32:849:1] |
Generators of the group modulo torsion |
j |
341297975/2898918 |
j-invariant |
L |
8.050556610082 |
L(r)(E,1)/r! |
Ω |
0.38432554974135 |
Real period |
R |
0.17456027005186 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800dm1 13200co1 52800gy2 |
Quadratic twists by: -4 8 5 |