Atkin-Lehner |
2- 3+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
72624t |
Isogeny class |
Conductor |
72624 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-6709770867456 = -1 · 28 · 37 · 17 · 893 |
Discriminant |
Eigenvalues |
2- 3+ -2 3 -5 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3949,-155711] |
[a1,a2,a3,a4,a6] |
j |
-26610627715072/26210042451 |
j-invariant |
L |
1.7373871014072 |
L(r)(E,1)/r! |
Ω |
0.28956451531892 |
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 |
18156c1 |
Quadratic twists by: -4 |