Atkin-Lehner |
2- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
35770z |
Isogeny class |
Conductor |
35770 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
609280 |
Modular degree for the optimal curve |
Δ |
-2356650648800000 = -1 · 28 · 55 · 79 · 73 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- -2 4 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68193,-7224143] |
[a1,a2,a3,a4,a6] |
j |
-869070026007/58400000 |
j-invariant |
L |
9.4174669536422 |
L(r)(E,1)/r! |
Ω |
0.14714792115054 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35770bb1 |
Quadratic twists by: -7 |