Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
9680w |
Isogeny class |
Conductor |
9680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-399097262080 = -1 · 212 · 5 · 117 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1573,18634] |
[a1,a2,a3,a4,a6] |
j |
59319/55 |
j-invariant |
L |
1.2406225258516 |
L(r)(E,1)/r! |
Ω |
0.6203112629258 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
605b1 38720bs1 87120ec1 48400br1 |
Quadratic twists by: -4 8 -3 5 |