Atkin-Lehner |
2- 3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
17430v |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
267264 |
Modular degree for the optimal curve |
Δ |
12805194189312000 = 212 · 316 · 53 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-141481,19687319] |
[a1,a2,a3,a4,a6] |
j |
313197485253202237969/12805194189312000 |
j-invariant |
L |
2.3739450435634 |
L(r)(E,1)/r! |
Ω |
0.39565750726057 |
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 |
52290bm1 87150bb1 122010ds1 |
Quadratic twists by: -3 5 -7 |