Atkin-Lehner |
2- 3- 7- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
66402bw |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
128113829260452 = 22 · 312 · 7 · 172 · 313 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41855,-3240061] |
[a1,a2,a3,a4,a6] |
j |
11123167954515625/175739134788 |
j-invariant |
L |
4.0092270310494 |
L(r)(E,1)/r! |
Ω |
0.33410225285645 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22134s1 |
Quadratic twists by: -3 |