Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850du |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
-51792413384250000 = -1 · 24 · 33 · 56 · 78 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-74138,-13456969] |
[a1,a2,a3,a4,a6] |
Generators |
[455:6647:1] |
Generators of the group modulo torsion |
j |
-500313625/574992 |
j-invariant |
L |
9.0557964261737 |
L(r)(E,1)/r! |
Ω |
0.13849588753082 |
Real period |
R |
2.7244480530293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3234j1 80850gs1 |
Quadratic twists by: 5 -7 |