Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109368ba |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-147018226231296 = -1 · 211 · 39 · 76 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 5 -1 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14259,-877394] |
[a1,a2,a3,a4,a6] |
j |
-1825346/837 |
j-invariant |
L |
1.7098078842065 |
L(r)(E,1)/r! |
Ω |
0.21372597665605 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36456bc1 2232d1 |
Quadratic twists by: -3 -7 |