Atkin-Lehner |
3+ 19- 101- |
Signs for the Atkin-Lehner involutions |
Class |
109383h |
Isogeny class |
Conductor |
109383 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
202176 |
Modular degree for the optimal curve |
Δ |
384882352461 = 34 · 196 · 101 |
Discriminant |
Eigenvalues |
2 3+ -1 -2 -6 -1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2286,-28897] |
[a1,a2,a3,a4,a6] |
Generators |
[-198:869:8] |
Generators of the group modulo torsion |
j |
28094464/8181 |
j-invariant |
L |
5.7502576368342 |
L(r)(E,1)/r! |
Ω |
0.70581674777909 |
Real period |
R |
4.0734777586489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999814169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
303b1 |
Quadratic twists by: -19 |