Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
14520k |
Isogeny class |
Conductor |
14520 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
3717120 = 211 · 3 · 5 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 11- 5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,-20] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:8:1] |
Generators of the group modulo torsion |
j |
29282/15 |
j-invariant |
L |
3.9219915009258 |
L(r)(E,1)/r! |
Ω |
2.0014662365709 |
Real period |
R |
1.95955916181 |
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 |
29040bm1 116160dm1 43560bx1 72600dy1 |
Quadratic twists by: -4 8 -3 5 |