Atkin-Lehner |
3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17787b |
Isogeny class |
Conductor |
17787 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-140366092713 = -1 · 3 · 74 · 117 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 11- -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3088,67178] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:289:1] [28:46:1] |
Generators of the group modulo torsion |
j |
-765625/33 |
j-invariant |
L |
4.1500254316647 |
L(r)(E,1)/r! |
Ω |
1.025186104417 |
Real period |
R |
1.0120175775363 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53361s1 17787r1 1617a1 |
Quadratic twists by: -3 -7 -11 |