Atkin-Lehner |
2+ 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
14910t |
Isogeny class |
Conductor |
14910 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-5591250000 = -1 · 24 · 32 · 57 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -5 4 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-514,-5788] |
[a1,a2,a3,a4,a6] |
j |
-14976071831449/5591250000 |
j-invariant |
L |
1.9691585229134 |
L(r)(E,1)/r! |
Ω |
0.49228963072834 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119280z1 44730ci1 74550ca1 104370bb1 |
Quadratic twists by: -4 -3 5 -7 |