Atkin-Lehner |
2- 3+ 7+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98532a |
Isogeny class |
Conductor |
98532 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
463104 |
Modular degree for the optimal curve |
Δ |
-8248023986119344 = -1 · 24 · 33 · 7 · 179 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 2 2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8928,4381561] |
[a1,a2,a3,a4,a6] |
j |
-182180760256512/19092648116017 |
j-invariant |
L |
2.0413857258993 |
L(r)(E,1)/r! |
Ω |
0.34023096227805 |
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 |
98532e1 |
Quadratic twists by: -3 |