Atkin-Lehner |
2+ 7- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
80066a |
Isogeny class |
Conductor |
80066 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
45360 |
Modular degree for the optimal curve |
Δ |
-6151630912 = -1 · 26 · 76 · 19 · 43 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 0 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,416,-1728] |
[a1,a2,a3,a4,a6] |
Generators |
[2520:14232:125] |
Generators of the group modulo torsion |
j |
67419143/52288 |
j-invariant |
L |
8.5419594734038 |
L(r)(E,1)/r! |
Ω |
0.74788908801639 |
Real period |
R |
5.7107127323534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985449 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1634a1 |
Quadratic twists by: -7 |