Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490dn |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
5765760 |
Modular degree for the optimal curve |
Δ |
7162093782691684200 = 23 · 37 · 52 · 713 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 13+ 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-187406125,987454089257] |
[a1,a2,a3,a4,a6] |
j |
4307133670770643495402925929/42379253152021800 |
j-invariant |
L |
6.9128808232179 |
L(r)(E,1)/r! |
Ω |
0.16459240055266 |
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 |
106470bc1 35490bg1 |
Quadratic twists by: -3 13 |