Atkin-Lehner |
2- 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40368u |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-3815396641529856 = -1 · 213 · 33 · 297 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 6 -4 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-67560,7406064] |
[a1,a2,a3,a4,a6] |
j |
-13997521/1566 |
j-invariant |
L |
1.7190199181561 |
L(r)(E,1)/r! |
Ω |
0.42975497953247 |
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 |
5046d1 121104bu1 1392m1 |
Quadratic twists by: -4 -3 29 |