Atkin-Lehner |
2- 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
47400q |
Isogeny class |
Conductor |
47400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
648000 |
Modular degree for the optimal curve |
Δ |
177119320781250000 = 24 · 315 · 510 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -6 1 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-257083,-45818588] |
[a1,a2,a3,a4,a6] |
Generators |
[-176868:1084744:729] |
Generators of the group modulo torsion |
j |
12026117785600/1133563653 |
j-invariant |
L |
4.3604905567615 |
L(r)(E,1)/r! |
Ω |
0.21330375843946 |
Real period |
R |
10.22131674719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94800o1 47400m1 |
Quadratic twists by: -4 5 |