Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694bl |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
62899200 |
Modular degree for the optimal curve |
Δ |
-8.8359877381421E+23 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2126420365,-37741933811320] |
[a1,a2,a3,a4,a6] |
Generators |
[17142770:5920708123:125] |
Generators of the group modulo torsion |
j |
-124352595912593543977/103332962304 |
j-invariant |
L |
4.02760761372 |
L(r)(E,1)/r! |
Ω |
0.011116223158255 |
Real period |
R |
7.5482913588432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000088676 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154be1 9438bd1 |
Quadratic twists by: -11 13 |