Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11172m |
Isogeny class |
Conductor |
11172 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11088 |
Modular degree for the optimal curve |
Δ |
-252359928576 = -1 · 28 · 32 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 4 -4 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,915,-21393] |
[a1,a2,a3,a4,a6] |
j |
57344/171 |
j-invariant |
L |
3.0282610738489 |
L(r)(E,1)/r! |
Ω |
0.50471017897482 |
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 |
44688bk1 33516b1 11172b1 |
Quadratic twists by: -4 -3 -7 |