Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850eh |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-282975000000 = -1 · 26 · 3 · 58 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2213,-48469] |
[a1,a2,a3,a4,a6] |
j |
-223648543/52800 |
j-invariant |
L |
4.1248497792427 |
L(r)(E,1)/r! |
Ω |
0.34373748145199 |
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 |
16170v1 80850gl1 |
Quadratic twists by: 5 -7 |