Atkin-Lehner |
2- 3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010cs |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
1936 |
Product of Tamagawa factors cp |
deg |
10036224 |
Modular degree for the optimal curve |
Δ |
1.8138444799138E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15176771,22746622401] |
[a1,a2,a3,a4,a6] |
Generators |
[4078:167305:1] [-3986:143113:1] |
Generators of the group modulo torsion |
j |
3286045838843721349921/1541742369177600 |
j-invariant |
L |
19.088743927757 |
L(r)(E,1)/r! |
Ω |
0.17740025549565 |
Real period |
R |
0.22231959850965 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999980838 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2490i1 |
Quadratic twists by: -7 |