Atkin-Lehner |
2- 3+ 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670bt |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
1728 |
Product of Tamagawa factors cp |
Δ |
5.7646636925862E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-64093520,194066653745] |
[a1,a2,a3,a4,a6] |
Generators |
[1973:-275387:1] |
Generators of the group modulo torsion |
j |
247501504481446827885169/4899883290624000000 |
j-invariant |
L |
8.2960677508374 |
L(r)(E,1)/r! |
Ω |
0.091953196667326 |
Real period |
R |
0.835375440318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977567 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12810s2 |
Quadratic twists by: -7 |