Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
34680by |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-129891859200 = -1 · 28 · 35 · 52 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 0 3 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1060,-10800] |
[a1,a2,a3,a4,a6] |
Generators |
[130:1530:1] |
Generators of the group modulo torsion |
j |
6154544/6075 |
j-invariant |
L |
8.0318880289162 |
L(r)(E,1)/r! |
Ω |
0.56687936466676 |
Real period |
R |
0.11807168228872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69360v1 104040s1 34680bd1 |
Quadratic twists by: -4 -3 17 |