Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800bd |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
-1.8044109275175E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-890175,-2069149250] |
[a1,a2,a3,a4,a6] |
Generators |
[471959489193831002:10734185510474397336:273321542662273] |
Generators of the group modulo torsion |
j |
-26752376766544/618796614375 |
j-invariant |
L |
6.3145554155451 |
L(r)(E,1)/r! |
Ω |
0.064307499136615 |
Real period |
R |
24.548285574058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003339 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41400bi1 27600s1 16560q1 |
Quadratic twists by: -4 -3 5 |