Atkin-Lehner |
2- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
3476a |
Isogeny class |
Conductor |
3476 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
336 |
Modular degree for the optimal curve |
Δ |
2447104 = 28 · 112 · 79 |
Discriminant |
Eigenvalues |
2- -1 1 1 11+ 1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60,184] |
[a1,a2,a3,a4,a6] |
Generators |
[10:22:1] |
Generators of the group modulo torsion |
j |
94875856/9559 |
j-invariant |
L |
3.1332504250008 |
L(r)(E,1)/r! |
Ω |
2.5032695695251 |
Real period |
R |
0.20861053500757 |
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 |
13904g1 55616n1 31284d1 86900a1 |
Quadratic twists by: -4 8 -3 5 |