Atkin-Lehner |
3- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
46569k |
Isogeny class |
Conductor |
46569 |
Conductor |
∏ cp |
312 |
Product of Tamagawa factors cp |
deg |
20217600 |
Modular degree for the optimal curve |
Δ |
-1.8064801596191E+26 |
Discriminant |
Eigenvalues |
-1 3- 0 -5 4 -2 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,135033667,-231060019902] |
[a1,a2,a3,a4,a6] |
Generators |
[1681:25282:1] [2842:417700:1] |
Generators of the group modulo torsion |
j |
5787996915620207558375/3839826401846122257 |
j-invariant |
L |
6.4845812466544 |
L(r)(E,1)/r! |
Ω |
0.032420539974726 |
Real period |
R |
0.64107242718041 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2451c1 |
Quadratic twists by: -19 |