Atkin-Lehner |
2+ 3- 7+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
124614d |
Isogeny class |
Conductor |
124614 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
985450879253213352 = 23 · 326 · 72 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 4 0 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-302274,42625804] |
[a1,a2,a3,a4,a6] |
Generators |
[495:3508:1] |
Generators of the group modulo torsion |
j |
4189858645006022689/1351784470854888 |
j-invariant |
L |
3.2943227940059 |
L(r)(E,1)/r! |
Ω |
0.2567427769982 |
Real period |
R |
6.4156095407903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999923288 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41538i2 |
Quadratic twists by: -3 |