Atkin-Lehner |
2- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32912w |
Isogeny class |
Conductor |
32912 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
58305615632 = 24 · 118 · 17 |
Discriminant |
Eigenvalues |
2- 2 0 -2 11- 5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2218,-37761] |
[a1,a2,a3,a4,a6] |
Generators |
[-3838380:5795379:140608] |
Generators of the group modulo torsion |
j |
352000/17 |
j-invariant |
L |
7.8237842762482 |
L(r)(E,1)/r! |
Ω |
0.69773685529483 |
Real period |
R |
11.213087307739 |
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 |
8228c1 32912ba1 |
Quadratic twists by: -4 -11 |