Atkin-Lehner |
2- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
9802f |
Isogeny class |
Conductor |
9802 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-363567790917853184 = -1 · 213 · 137 · 294 |
Discriminant |
Eigenvalues |
2- 1 -1 1 6 13+ -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1818021,943804289] |
[a1,a2,a3,a4,a6] |
Generators |
[-350:39383:1] |
Generators of the group modulo torsion |
j |
-137676653031953881/75322597376 |
j-invariant |
L |
7.6370445470547 |
L(r)(E,1)/r! |
Ω |
0.29836110753364 |
Real period |
R |
0.24612162507299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78416s1 88218p1 754b1 |
Quadratic twists by: -4 -3 13 |