Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800ey |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
3267000000 = 26 · 33 · 56 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-808,-8138] |
[a1,a2,a3,a4,a6] |
Generators |
[1146:13375:8] |
Generators of the group modulo torsion |
j |
58411072/3267 |
j-invariant |
L |
4.3548942489006 |
L(r)(E,1)/r! |
Ω |
0.89849135108928 |
Real period |
R |
4.846896126134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998646 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800ga1 26400bw2 2112bb1 |
Quadratic twists by: -4 8 5 |