Atkin-Lehner |
2+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950j |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
-18833408000000 = -1 · 219 · 56 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 11- -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6801,299748] |
[a1,a2,a3,a4,a6] |
j |
-18396908233/9961472 |
j-invariant |
L |
1.2780640415319 |
L(r)(E,1)/r! |
Ω |
0.6390324948652 |
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 |
4598o1 114950cu1 |
Quadratic twists by: 5 -11 |