Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850gl |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-33291725775000000 = -1 · 26 · 3 · 58 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-108438,16299492] |
[a1,a2,a3,a4,a6] |
Generators |
[512:9494:1] |
Generators of the group modulo torsion |
j |
-223648543/52800 |
j-invariant |
L |
12.692813863505 |
L(r)(E,1)/r! |
Ω |
0.35173587492349 |
Real period |
R |
3.0071839809112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000414 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170o1 80850eh1 |
Quadratic twists by: 5 -7 |