Atkin-Lehner |
2+ 3- 43+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
47214c |
Isogeny class |
Conductor |
47214 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-76565073707095104 = -1 · 26 · 37 · 435 · 612 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 1 5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46890,-13862988] |
[a1,a2,a3,a4,a6] |
Generators |
[396:5238:1] |
Generators of the group modulo torsion |
j |
-15640192421281441/105027535949376 |
j-invariant |
L |
4.8555781365537 |
L(r)(E,1)/r! |
Ω |
0.14426605388001 |
Real period |
R |
4.2071384830084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999816 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15738i1 |
Quadratic twists by: -3 |