Atkin-Lehner |
2- 3- 7+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
66402v |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
126051979032 = 23 · 39 · 72 · 17 · 312 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-176297,28535505] |
[a1,a2,a3,a4,a6] |
Generators |
[245:-60:1] |
Generators of the group modulo torsion |
j |
831244224058258249/172910808 |
j-invariant |
L |
7.7715659971029 |
L(r)(E,1)/r! |
Ω |
0.82667579867389 |
Real period |
R |
1.5668306749316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994696 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22134e2 |
Quadratic twists by: -3 |