Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312ch |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
42800432787488768 = 219 · 710 · 172 |
Discriminant |
Eigenvalues |
2- -2 0 7- -2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-87873,1174207] |
[a1,a2,a3,a4,a6] |
Generators |
[-187:3332:1] [-17:1632:1] |
Generators of the group modulo torsion |
j |
2433138625/1387778 |
j-invariant |
L |
6.9215590544697 |
L(r)(E,1)/r! |
Ω |
0.30973937198589 |
Real period |
R |
2.7932996579075 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53312w2 13328u2 7616k2 |
Quadratic twists by: -4 8 -7 |