Atkin-Lehner |
2- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
114950by |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1486848 |
Modular degree for the optimal curve |
Δ |
11200251532250000 = 24 · 56 · 119 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 11+ 6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-57538,-1519308] |
[a1,a2,a3,a4,a6] |
Generators |
[332:3834:1] |
Generators of the group modulo torsion |
j |
571787/304 |
j-invariant |
L |
9.9492811653862 |
L(r)(E,1)/r! |
Ω |
0.32747070590776 |
Real period |
R |
3.7977752696438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999778394 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4598a1 114950d1 |
Quadratic twists by: 5 -11 |