Atkin-Lehner |
2+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950s |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6336000 |
Modular degree for the optimal curve |
Δ |
-1272755855937500000 = -1 · 25 · 510 · 118 · 19 |
Discriminant |
Eigenvalues |
2+ 3 5+ 5 11- 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,14558,-54278284] |
[a1,a2,a3,a4,a6] |
j |
101871/380000 |
j-invariant |
L |
6.8100720721432 |
L(r)(E,1)/r! |
Ω |
0.12611245280501 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22990w1 114950da1 |
Quadratic twists by: 5 -11 |