Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472p |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
949909877489664 = 216 · 36 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-160609,-24676511] |
[a1,a2,a3,a4,a6] |
Generators |
[-237:140:1] |
Generators of the group modulo torsion |
j |
6991270724335972/14494474449 |
j-invariant |
L |
3.3588631474908 |
L(r)(E,1)/r! |
Ω |
0.23851239549888 |
Real period |
R |
2.3470919547426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17472ct2 2184l2 52416da2 122304di2 |
Quadratic twists by: -4 8 -3 -7 |