Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
35904bn |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
482823627669504 = 216 · 36 · 112 · 174 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-114529,14842751] |
[a1,a2,a3,a4,a6] |
Generators |
[-325:4224:1] [-238:5355:1] |
Generators of the group modulo torsion |
j |
2535093488117092/7367303889 |
j-invariant |
L |
8.5584215814819 |
L(r)(E,1)/r! |
Ω |
0.52657241766347 |
Real period |
R |
1.3544230091304 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35904bv2 4488f2 107712z2 |
Quadratic twists by: -4 8 -3 |