Atkin-Lehner |
2- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
34790y |
Isogeny class |
Conductor |
34790 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-3439559869448500 = -1 · 22 · 53 · 713 · 71 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -3 -6 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-86617,-10187859] |
[a1,a2,a3,a4,a6] |
j |
-610857885812049/29235776500 |
j-invariant |
L |
1.6650966102184 |
L(r)(E,1)/r! |
Ω |
0.13875805085164 |
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 |
4970i1 |
Quadratic twists by: -7 |