Atkin-Lehner |
2+ 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
26712g |
Isogeny class |
Conductor |
26712 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-5445668164608 = -1 · 210 · 36 · 72 · 533 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -2 5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22851,1334286] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:1484:1] |
Generators of the group modulo torsion |
j |
-1767713416452/7294973 |
j-invariant |
L |
4.1747192568888 |
L(r)(E,1)/r! |
Ω |
0.76620580169857 |
Real period |
R |
0.45404677259839 |
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 |
53424p1 2968d1 |
Quadratic twists by: -4 -3 |