Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696he |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-4335648768 = -1 · 214 · 37 · 112 |
Discriminant |
Eigenvalues |
2- 3- -4 -5 11- -2 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7392,-244640] |
[a1,a2,a3,a4,a6] |
j |
-30908416/3 |
j-invariant |
L |
0.51488061159865 |
L(r)(E,1)/r! |
Ω |
0.25744030449796 |
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 |
69696ds1 17424ch1 23232dw1 69696hd1 |
Quadratic twists by: -4 8 -3 -11 |