Atkin-Lehner |
2- 3- 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440da |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
1344 |
Product of Tamagawa factors cp |
deg |
15482880 |
Modular degree for the optimal curve |
Δ |
8.5163358092661E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 13+ 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29804880,44161148628] |
[a1,a2,a3,a4,a6] |
Generators |
[-5124:249750:1] |
Generators of the group modulo torsion |
j |
714868089922470312576721/207918354718409765625 |
j-invariant |
L |
9.5765803279453 |
L(r)(E,1)/r! |
Ω |
0.082726912898286 |
Real period |
R |
0.34452787102858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7215c1 |
Quadratic twists by: -4 |