Atkin-Lehner |
3- 13- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
64467q |
Isogeny class |
Conductor |
64467 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
88320 |
Modular degree for the optimal curve |
Δ |
-20275816392819 = -1 · 311 · 13 · 192 · 293 |
Discriminant |
Eigenvalues |
0 3- -1 0 0 13- -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-24618,1502415] |
[a1,a2,a3,a4,a6] |
Generators |
[10345:22253:125] [5:1174:1] |
Generators of the group modulo torsion |
j |
-2263364427022336/27813191211 |
j-invariant |
L |
8.2787693074713 |
L(r)(E,1)/r! |
Ω |
0.68592840405092 |
Real period |
R |
0.50289318696837 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21489e1 |
Quadratic twists by: -3 |