Atkin-Lehner |
2- 5+ 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
119350bb |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
279552 |
Modular degree for the optimal curve |
Δ |
21387520000000 = 214 · 57 · 72 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11+ -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8355,194147] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:690:1] [-21:610:1] |
Generators of the group modulo torsion |
j |
4127568756921/1368801280 |
j-invariant |
L |
16.493043991832 |
L(r)(E,1)/r! |
Ω |
0.62705671681826 |
Real period |
R |
0.93936843308632 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999981112 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23870g1 |
Quadratic twists by: 5 |