Atkin-Lehner |
2+ 3+ 5+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
115050k |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-460200 = -1 · 23 · 3 · 52 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -2 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-30,60] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:10:1] |
Generators of the group modulo torsion |
j |
-125768785/18408 |
j-invariant |
L |
5.2586270345763 |
L(r)(E,1)/r! |
Ω |
2.8634464695151 |
Real period |
R |
1.8364677288379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115050cf1 |
Quadratic twists by: 5 |