Atkin-Lehner |
3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17787c |
Isogeny class |
Conductor |
17787 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-300283918846086483 = -1 · 35 · 78 · 118 |
Discriminant |
Eigenvalues |
2 3+ 0 7+ 11- 5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,69172,-25440955] |
[a1,a2,a3,a4,a6] |
j |
3584000/29403 |
j-invariant |
L |
2.7406172742551 |
L(r)(E,1)/r! |
Ω |
0.15225651523639 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53361w1 17787w1 1617c1 |
Quadratic twists by: -3 -7 -11 |