Atkin-Lehner |
2- 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
17934y |
Isogeny class |
Conductor |
17934 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-124588498735134 = -1 · 2 · 311 · 78 · 61 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 4 0 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12396,-77778] |
[a1,a2,a3,a4,a6] |
j |
1790515088207/1058984766 |
j-invariant |
L |
7.5696080342651 |
L(r)(E,1)/r! |
Ω |
0.34407309246659 |
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 |
53802x1 2562m1 |
Quadratic twists by: -3 -7 |