Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17760s |
Isogeny class |
Conductor |
17760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-7992000000000 = -1 · 212 · 33 · 59 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16141,806341] |
[a1,a2,a3,a4,a6] |
j |
-113548651969024/1951171875 |
j-invariant |
L |
1.4794164003508 |
L(r)(E,1)/r! |
Ω |
0.73970820017539 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17760w1 35520dc1 53280q1 88800r1 |
Quadratic twists by: -4 8 -3 5 |