Atkin-Lehner |
3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11109f |
Isogeny class |
Conductor |
11109 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-71501334387 = -1 · 3 · 7 · 237 |
Discriminant |
Eigenvalues |
2 3- 0 7+ -1 2 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,882,-7705] |
[a1,a2,a3,a4,a6] |
Generators |
[17800:131465:512] |
Generators of the group modulo torsion |
j |
512000/483 |
j-invariant |
L |
10.139453300367 |
L(r)(E,1)/r! |
Ω |
0.59804716789407 |
Real period |
R |
4.2385675598431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33327l1 77763p1 483b1 |
Quadratic twists by: -3 -7 -23 |