Atkin-Lehner |
2- 3- 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440cy |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
576622800 = 24 · 34 · 52 · 13 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 6 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-148305,21933378] |
[a1,a2,a3,a4,a6] |
j |
22546235422506827776/36038925 |
j-invariant |
L |
4.2068016103421 |
L(r)(E,1)/r! |
Ω |
1.0517004819089 |
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 |
28860c1 |
Quadratic twists by: -4 |