Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280cs |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-23534223602400000 = -1 · 28 · 36 · 55 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -5 5 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-181692,-30709476] |
[a1,a2,a3,a4,a6] |
j |
-30211716096/1071875 |
j-invariant |
L |
1.1538017717736 |
L(r)(E,1)/r! |
Ω |
0.11538017717621 |
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 |
17640cu1 3920h1 5040j1 |
Quadratic twists by: -4 -3 -7 |