Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
69360dw |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
deg |
2540160 |
Modular degree for the optimal curve |
Δ |
-2.0200781942784E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 3 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4478440,3709908788] |
[a1,a2,a3,a4,a6] |
Generators |
[-754:-81600:1] |
Generators of the group modulo torsion |
j |
-29036780124540841/590490000000 |
j-invariant |
L |
10.248619953326 |
L(r)(E,1)/r! |
Ω |
0.1784695450119 |
Real period |
R |
0.068363137469889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998661 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8670g1 69360ci1 |
Quadratic twists by: -4 17 |