Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
35700bd |
Isogeny class |
Conductor |
35700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-89964000000 = -1 · 28 · 33 · 56 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -1 7 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,867,10863] |
[a1,a2,a3,a4,a6] |
j |
17997824/22491 |
j-invariant |
L |
4.3196049278188 |
L(r)(E,1)/r! |
Ω |
0.71993415463993 |
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 |
107100t1 1428c1 |
Quadratic twists by: -3 5 |