Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
26100f |
Isogeny class |
Conductor |
26100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-4115643750000 = -1 · 24 · 33 · 58 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3675,46625] |
[a1,a2,a3,a4,a6] |
Generators |
[160:2175:1] |
Generators of the group modulo torsion |
j |
813189888/609725 |
j-invariant |
L |
5.2517801958945 |
L(r)(E,1)/r! |
Ω |
0.4988120304354 |
Real period |
R |
0.87738130388689 |
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 |
104400de1 26100a2 5220a1 |
Quadratic twists by: -4 -3 5 |