Atkin-Lehner |
2- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
41650bk |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-7372570625000000 = -1 · 26 · 510 · 74 · 173 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -3 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27119688,-54370761719] |
[a1,a2,a3,a4,a6] |
Generators |
[7255:358047:1] |
Generators of the group modulo torsion |
j |
-58798411541899527001/196520000 |
j-invariant |
L |
6.1451026861604 |
L(r)(E,1)/r! |
Ω |
0.033078696441465 |
Real period |
R |
5.1603392878441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330i2 41650bs2 |
Quadratic twists by: 5 -7 |