Atkin-Lehner |
3+ 13- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
64467j |
Isogeny class |
Conductor |
64467 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
426240 |
Modular degree for the optimal curve |
Δ |
-42156529685481861 = -1 · 39 · 135 · 193 · 292 |
Discriminant |
Eigenvalues |
1 3+ 1 -3 -4 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,37191,-9494218] |
[a1,a2,a3,a4,a6] |
Generators |
[362:-7344:1] [8174:260567:8] |
Generators of the group modulo torsion |
j |
289027668023613/2141773595767 |
j-invariant |
L |
11.555391930363 |
L(r)(E,1)/r! |
Ω |
0.17981150626375 |
Real period |
R |
1.0710653033696 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64467i1 |
Quadratic twists by: -3 |