Atkin-Lehner |
5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
4675t |
Isogeny class |
Conductor |
4675 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
-73046875 = -1 · 58 · 11 · 17 |
Discriminant |
Eigenvalues |
-2 -2 5- 3 11+ 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-11208,452994] |
[a1,a2,a3,a4,a6] |
Generators |
[58:37:1] |
Generators of the group modulo torsion |
j |
-398645432320/187 |
j-invariant |
L |
1.5299703497885 |
L(r)(E,1)/r! |
Ω |
1.5862562299738 |
Real period |
R |
0.32150550898361 |
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 |
74800dn1 42075ch1 4675f1 51425bj1 |
Quadratic twists by: -4 -3 5 -11 |