Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119646bu |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
4555169583740960256 = 29 · 314 · 172 · 235 |
Discriminant |
Eigenvalues |
2- 3- -1 1 2 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1806143,-928166425] |
[a1,a2,a3,a4,a6] |
Generators |
[-795:2584:1] |
Generators of the group modulo torsion |
j |
3092819055348488329/21621169368576 |
j-invariant |
L |
10.618952170448 |
L(r)(E,1)/r! |
Ω |
0.13028502928419 |
Real period |
R |
2.2640428868371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999993603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39882t1 119646cw1 |
Quadratic twists by: -3 17 |