Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3740b |
Isogeny class |
Conductor |
3740 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-216172000000 = -1 · 28 · 56 · 11 · 173 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 11- -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1499,1815] |
[a1,a2,a3,a4,a6] |
Generators |
[42:375:1] |
Generators of the group modulo torsion |
j |
1454115454976/844421875 |
j-invariant |
L |
2.1746123631214 |
L(r)(E,1)/r! |
Ω |
0.60046077547527 |
Real period |
R |
1.8107863593589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14960d2 59840k2 33660i2 18700h2 |
Quadratic twists by: -4 8 -3 5 |