Atkin-Lehner |
5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
12325h |
Isogeny class |
Conductor |
12325 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1560 |
Modular degree for the optimal curve |
Δ |
-308125 = -1 · 54 · 17 · 29 |
Discriminant |
Eigenvalues |
1 -2 5- -3 -2 -6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1,-27] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-1:1] |
Generators of the group modulo torsion |
j |
-25/493 |
j-invariant |
L |
2.318689635361 |
L(r)(E,1)/r! |
Ω |
1.3963421862218 |
Real period |
R |
1.6605454295088 |
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 |
110925bz1 12325f1 |
Quadratic twists by: -3 5 |