Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12342x |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
66000 |
Modular degree for the optimal curve |
Δ |
-28336529197152 = -1 · 25 · 35 · 118 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 11- 4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5019,-214389] |
[a1,a2,a3,a4,a6] |
j |
65227151/132192 |
j-invariant |
L |
5.1946964530338 |
L(r)(E,1)/r! |
Ω |
0.34631309686892 |
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 |
98736do1 37026q1 12342e1 |
Quadratic twists by: -4 -3 -11 |