Atkin-Lehner |
2+ 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
112200be |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
698880 |
Modular degree for the optimal curve |
Δ |
-40896900000000000 = -1 · 211 · 37 · 511 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,25992,-9586512] |
[a1,a2,a3,a4,a6] |
j |
60684268318/1278028125 |
j-invariant |
L |
2.4642673499906 |
L(r)(E,1)/r! |
Ω |
0.17601909165818 |
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 |
22440s1 |
Quadratic twists by: 5 |