Atkin-Lehner |
2- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
114950cq |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1153152 |
Modular degree for the optimal curve |
Δ |
29962912899075200 = 27 · 52 · 1110 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 11- 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-141835,-18762213] |
[a1,a2,a3,a4,a6] |
j |
486635985/46208 |
j-invariant |
L |
3.4651351559468 |
L(r)(E,1)/r! |
Ω |
0.24750957734578 |
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 |
114950br1 114950h1 |
Quadratic twists by: 5 -11 |