Atkin-Lehner |
2- 3+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
17556d |
Isogeny class |
Conductor |
17556 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
-91010304 = -1 · 28 · 35 · 7 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 11- 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,76,-408] |
[a1,a2,a3,a4,a6] |
j |
187153328/355509 |
j-invariant |
L |
2.9904188742945 |
L(r)(E,1)/r! |
Ω |
0.99680629143149 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70224cq1 52668r1 122892bg1 |
Quadratic twists by: -4 -3 -7 |