Atkin-Lehner |
3- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
40071d |
Isogeny class |
Conductor |
40071 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
49248 |
Modular degree for the optimal curve |
Δ |
-5655526492653 = -1 · 32 · 198 · 37 |
Discriminant |
Eigenvalues |
1 3- 0 2 -2 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,714,114241] |
[a1,a2,a3,a4,a6] |
j |
2375/333 |
j-invariant |
L |
3.5099172439218 |
L(r)(E,1)/r! |
Ω |
0.58498620732613 |
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 |
120213f1 40071b1 |
Quadratic twists by: -3 -19 |