Atkin-Lehner |
5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
4675r |
Isogeny class |
Conductor |
4675 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1200 |
Modular degree for the optimal curve |
Δ |
-73046875 = -1 · 58 · 11 · 17 |
Discriminant |
Eigenvalues |
-1 2 5- -3 11+ 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13,406] |
[a1,a2,a3,a4,a6] |
Generators |
[10:32:1] |
Generators of the group modulo torsion |
j |
-625/187 |
j-invariant |
L |
3.0356416139249 |
L(r)(E,1)/r! |
Ω |
1.5797771589047 |
Real period |
R |
0.64052105847419 |
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 |
74800dp1 42075cc1 4675a1 51425bb1 |
Quadratic twists by: -4 -3 5 -11 |