Atkin-Lehner |
2+ 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
14950p |
Isogeny class |
Conductor |
14950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
9568000 = 28 · 53 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 -2 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-130,500] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:35:1] [4:6:1] |
Generators of the group modulo torsion |
j |
1967221277/76544 |
j-invariant |
L |
4.2339346947466 |
L(r)(E,1)/r! |
Ω |
2.281477985105 |
Real period |
R |
0.46394647706322 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119600cf1 14950bi1 |
Quadratic twists by: -4 5 |