Atkin-Lehner |
5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
52855h |
Isogeny class |
Conductor |
52855 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
268633600 |
Modular degree for the optimal curve |
Δ |
-9.5343419356382E+32 |
Discriminant |
Eigenvalues |
2 -1 5- -4 11+ -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-10722088740,1545848890753131] |
[a1,a2,a3,a4,a6] |
Generators |
[-3768380:2842806143:64] |
Generators of the group modulo torsion |
j |
-5155925809685196353536/36060810089111328125 |
j-invariant |
L |
7.6403876858051 |
L(r)(E,1)/r! |
Ω |
0.01348286828886 |
Real period |
R |
5.6667376124873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000178 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52855k1 |
Quadratic twists by: -31 |