Atkin-Lehner |
2- 5- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
119350cd |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
1920 |
Product of Tamagawa factors cp |
deg |
9707520 |
Modular degree for the optimal curve |
Δ |
-9.6648627170719E+20 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3964468,3386155152] |
[a1,a2,a3,a4,a6] |
Generators |
[2152:-70516:1] [-1824:68364:1] |
Generators of the group modulo torsion |
j |
-55127520076204810247957/7731890173657481216 |
j-invariant |
L |
13.081688343152 |
L(r)(E,1)/r! |
Ω |
0.15153367382287 |
Real period |
R |
0.17985122839632 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119350t1 |
Quadratic twists by: 5 |