Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
69360v |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
57600 |
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 |
[40:340:1] |
Generators of the group modulo torsion |
j |
6154544/6075 |
j-invariant |
L |
6.3981078844616 |
L(r)(E,1)/r! |
Ω |
0.68509519647582 |
Real period |
R |
0.77825046763281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34680by1 69360y1 |
Quadratic twists by: -4 17 |