Atkin-Lehner |
2+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
91840a |
Isogeny class |
Conductor |
91840 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-1411250176000 = -1 · 214 · 53 · 75 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -4 -4 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59888,-5641312] |
[a1,a2,a3,a4,a6] |
Generators |
[4416850793:349339384655:704969] |
Generators of the group modulo torsion |
j |
-1449850431476736/86135875 |
j-invariant |
L |
2.707349816488 |
L(r)(E,1)/r! |
Ω |
0.15259245439145 |
Real period |
R |
17.742357136155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999979288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91840bb1 11480d1 |
Quadratic twists by: -4 8 |