Atkin-Lehner |
3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8673a |
Isogeny class |
Conductor |
8673 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-522130357479339 = -1 · 32 · 710 · 593 |
Discriminant |
Eigenvalues |
-1 3+ -1 7- -2 2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-578691,-169685580] |
[a1,a2,a3,a4,a6] |
j |
-75872351317441/1848411 |
j-invariant |
L |
0.69238432181972 |
L(r)(E,1)/r! |
Ω |
0.086548040227465 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26019k1 8673h1 |
Quadratic twists by: -3 -7 |