Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280dx |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-758803748290560 = -1 · 216 · 39 · 5 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10437,-1260182] |
[a1,a2,a3,a4,a6] |
j |
357911/2160 |
j-invariant |
L |
2.0222550607655 |
L(r)(E,1)/r! |
Ω |
0.25278188259698 |
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 |
4410bb1 11760cp1 720j1 |
Quadratic twists by: -4 -3 -7 |