Atkin-Lehner |
2+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
18326t |
Isogeny class |
Conductor |
18326 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
39424 |
Modular degree for the optimal curve |
Δ |
-22578004530928 = -1 · 24 · 79 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11- 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2965,235677] |
[a1,a2,a3,a4,a6] |
j |
-71473375/559504 |
j-invariant |
L |
2.3235004210965 |
L(r)(E,1)/r! |
Ω |
0.58087510527413 |
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 |
18326q1 |
Quadratic twists by: -7 |