Atkin-Lehner |
2- 3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
2412c |
Isogeny class |
Conductor |
2412 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
738337358592 = 28 · 316 · 67 |
Discriminant |
Eigenvalues |
2- 3- -4 0 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2487,23870] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:252:1] |
Generators of the group modulo torsion |
j |
9115564624/3956283 |
j-invariant |
L |
2.5777906353183 |
L(r)(E,1)/r! |
Ω |
0.81163796278233 |
Real period |
R |
3.1760350716981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9648u2 38592bi2 804a2 60300g2 |
Quadratic twists by: -4 8 -3 5 |