Atkin-Lehner |
2+ 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118440u |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
524288 |
Modular degree for the optimal curve |
Δ |
825949488908880 = 24 · 322 · 5 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24618,546257] |
[a1,a2,a3,a4,a6] |
Generators |
[1412:7535:64] |
Generators of the group modulo torsion |
j |
141460276688896/70811856045 |
j-invariant |
L |
6.9283817325529 |
L(r)(E,1)/r! |
Ω |
0.44423725571017 |
Real period |
R |
7.7980647781929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999115577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39480y1 |
Quadratic twists by: -3 |