Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984ca |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-90700760537856 = -1 · 28 · 311 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -3 -3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-79445,-8604567] |
[a1,a2,a3,a4,a6] |
j |
-1841198792704/3011499 |
j-invariant |
L |
0.5686825158329 |
L(r)(E,1)/r! |
Ω |
0.14217062897236 |
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 |
9996l1 119952ev1 816i1 |
Quadratic twists by: -4 -3 -7 |