Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
114950ba |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-26296608593750 = -1 · 2 · 58 · 116 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 11- -3 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4474,-217802] |
[a1,a2,a3,a4,a6] |
Generators |
[1462:55231:1] |
Generators of the group modulo torsion |
j |
357911/950 |
j-invariant |
L |
4.5525880866498 |
L(r)(E,1)/r! |
Ω |
0.34430158619008 |
Real period |
R |
3.3056688483394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999451745 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22990y1 950d1 |
Quadratic twists by: 5 -11 |