Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472bf |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-23115456 = -1 · 26 · 34 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 2 13+ -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-105,441] |
[a1,a2,a3,a4,a6] |
Generators |
[0:21:1] |
Generators of the group modulo torsion |
j |
-2019487744/361179 |
j-invariant |
L |
6.6737401650045 |
L(r)(E,1)/r! |
Ω |
2.0550925809015 |
Real period |
R |
0.27061798525223 |
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 |
17472bp1 273a1 52416cm1 122304bu1 |
Quadratic twists by: -4 8 -3 -7 |