Atkin-Lehner |
2- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
113680r |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
786240 |
Modular degree for the optimal curve |
Δ |
-92142129374167040 = -1 · 217 · 5 · 78 · 293 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -4 3 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20923,-14650902] |
[a1,a2,a3,a4,a6] |
j |
-42899409/3902240 |
j-invariant |
L |
0.89855160817548 |
L(r)(E,1)/r! |
Ω |
0.14975855211674 |
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 |
14210i1 113680bk1 |
Quadratic twists by: -4 -7 |