Atkin-Lehner |
3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17787i |
Isogeny class |
Conductor |
17787 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-58370176882856223 = -1 · 38 · 73 · 1110 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- 11- -4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,81612,-7354236] |
[a1,a2,a3,a4,a6] |
Generators |
[3856:238196:1] |
Generators of the group modulo torsion |
j |
98931640625/96059601 |
j-invariant |
L |
2.0916487688601 |
L(r)(E,1)/r! |
Ω |
0.19187817960537 |
Real period |
R |
2.7252301084494 |
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 |
53361bg1 17787s1 1617d1 |
Quadratic twists by: -3 -7 -11 |