Atkin-Lehner |
2+ 3- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040bd |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
1134 |
Product of Tamagawa factors cp |
deg |
49351680 |
Modular degree for the optimal curve |
Δ |
-8.7704902384998E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -1 13- 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9180931520,-338599261236780] |
[a1,a2,a3,a4,a6] |
Generators |
[162388:49524774:1] |
Generators of the group modulo torsion |
j |
-41788232654067676478925951960962/428246593676749551934035 |
j-invariant |
L |
7.6421462003423 |
L(r)(E,1)/r! |
Ω |
0.0077116552286388 |
Real period |
R |
0.87388579974249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999364 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26520t1 |
Quadratic twists by: -4 |