Atkin-Lehner |
2+ 3- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
70992i |
Isogeny class |
Conductor |
70992 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
3072000 |
Modular degree for the optimal curve |
Δ |
-4.7284776720848E+20 |
Discriminant |
Eigenvalues |
2+ 3- 3 4 3 -1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1307004,-873947572] |
[a1,a2,a3,a4,a6] |
j |
1323082632326362112/2533692168255291 |
j-invariant |
L |
5.2113732163277 |
L(r)(E,1)/r! |
Ω |
0.086856220517896 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35496i1 23664b1 |
Quadratic twists by: -4 -3 |