Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472ca |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-19944357888 = -1 · 214 · 3 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 6 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-785,11121] |
[a1,a2,a3,a4,a6] |
Generators |
[16:49:1] |
Generators of the group modulo torsion |
j |
-3269383504/1217307 |
j-invariant |
L |
3.0250465545292 |
L(r)(E,1)/r! |
Ω |
1.144762087238 |
Real period |
R |
1.3212555640394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17472bo2 4368i2 52416fr2 122304hu2 |
Quadratic twists by: -4 8 -3 -7 |