Atkin-Lehner |
5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
6325d |
Isogeny class |
Conductor |
6325 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
6000 |
Modular degree for the optimal curve |
Δ |
1769994325 = 52 · 11 · 235 |
Discriminant |
Eigenvalues |
-2 -1 5+ 3 11- -6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2948,62568] |
[a1,a2,a3,a4,a6] |
Generators |
[3670:2623:125] |
Generators of the group modulo torsion |
j |
113373995192320/70799773 |
j-invariant |
L |
1.7262899846036 |
L(r)(E,1)/r! |
Ω |
1.4731564735238 |
Real period |
R |
5.8591535102661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
101200t1 56925n1 6325g2 69575r1 |
Quadratic twists by: -4 -3 5 -11 |