Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280dj |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
406671383849472000 = 212 · 39 · 53 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-435267,106186626] |
[a1,a2,a3,a4,a6] |
j |
2803221/125 |
j-invariant |
L |
3.5538929153291 |
L(r)(E,1)/r! |
Ω |
0.29615774294427 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2205c1 35280da1 35280cy1 |
Quadratic twists by: -4 -3 -7 |