Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280ej |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-33738662956400640 = -1 · 215 · 36 · 5 · 710 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 -5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7203,8840482] |
[a1,a2,a3,a4,a6] |
j |
-49/40 |
j-invariant |
L |
2.3808335884285 |
L(r)(E,1)/r! |
Ω |
0.29760419855454 |
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 |
4410k1 3920bg1 35280fa1 |
Quadratic twists by: -4 -3 -7 |