Atkin-Lehner |
2- 3- 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
119658cy |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-158293083969732096 = -1 · 29 · 32 · 78 · 115 · 37 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- 0 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19405,-19171951] |
[a1,a2,a3,a4,a6] |
Generators |
[410:6263:1] |
Generators of the group modulo torsion |
j |
-6868751617729/1345469013504 |
j-invariant |
L |
15.485036358707 |
L(r)(E,1)/r! |
Ω |
0.14436048902441 |
Real period |
R |
0.59592468855705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035893 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17094r1 |
Quadratic twists by: -7 |