Atkin-Lehner |
3- 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
59829m |
Isogeny class |
Conductor |
59829 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1811077383451651623 = 38 · 714 · 11 · 37 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-697847907,7095544443378] |
[a1,a2,a3,a4,a6] |
Generators |
[122214:-104037:8] |
Generators of the group modulo torsion |
j |
319460975111653539900484897/15393903759927 |
j-invariant |
L |
5.7246247515048 |
L(r)(E,1)/r! |
Ω |
0.14335202473978 |
Real period |
R |
4.9917543558081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8547a5 |
Quadratic twists by: -7 |