Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71478cl |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1838592 |
Modular degree for the optimal curve |
Δ |
2231356490150363136 = 214 · 36 · 11 · 198 |
Discriminant |
Eigenvalues |
2- 3- 3 3 11- 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1084151,428778703] |
[a1,a2,a3,a4,a6] |
j |
11382465033/180224 |
j-invariant |
L |
7.2870123792904 |
L(r)(E,1)/r! |
Ω |
0.26025044389221 |
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 |
7942a1 71478bg1 |
Quadratic twists by: -3 -19 |