Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
6120c |
Isogeny class |
Conductor |
6120 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-918000 = -1 · 24 · 33 · 53 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 -5 0 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27,71] |
[a1,a2,a3,a4,a6] |
Generators |
[7:15:1] |
Generators of the group modulo torsion |
j |
-5038848/2125 |
j-invariant |
L |
4.4669617438013 |
L(r)(E,1)/r! |
Ω |
2.6206039079824 |
Real period |
R |
0.14204619433313 |
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 |
12240f1 48960l1 6120o1 30600bl1 |
Quadratic twists by: -4 8 -3 5 |