Atkin-Lehner |
2- 5+ 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
119350bs |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-663013120000000 = -1 · 214 · 57 · 72 · 11 · 312 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,20062,583492] |
[a1,a2,a3,a4,a6] |
Generators |
[72:-1586:1] [-8:654:1] |
Generators of the group modulo torsion |
j |
57151154952359/42432839680 |
j-invariant |
L |
13.003243433502 |
L(r)(E,1)/r! |
Ω |
0.32617375083184 |
Real period |
R |
0.71189289464094 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999983925 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23870f1 |
Quadratic twists by: 5 |