Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800df |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
308 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
-5655910614854860800 = -1 · 216 · 311 · 52 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- 4 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3075553,2078152703] |
[a1,a2,a3,a4,a6] |
Generators |
[1259:14256:1] |
Generators of the group modulo torsion |
j |
-1963692857508260740/3452093881137 |
j-invariant |
L |
6.9823830046146 |
L(r)(E,1)/r! |
Ω |
0.24043421121763 |
Real period |
R |
0.094288057324986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800em1 6600d1 52800by1 |
Quadratic twists by: -4 8 5 |