Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
14520ba |
Isogeny class |
Conductor |
14520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
319440 = 24 · 3 · 5 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51,156] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:11:1] [8:14:1] |
Generators of the group modulo torsion |
j |
702464/15 |
j-invariant |
L |
5.1716167059373 |
L(r)(E,1)/r! |
Ω |
3.0522146673173 |
Real period |
R |
1.6943817095549 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29040w1 116160dy1 43560x1 72600be1 |
Quadratic twists by: -4 8 -3 5 |