Atkin-Lehner |
2- 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
74382bx |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
-2500276548 = -1 · 22 · 3 · 77 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 1 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-638,6600] |
[a1,a2,a3,a4,a6] |
j |
-244140625/21252 |
j-invariant |
L |
5.6627933179845 |
L(r)(E,1)/r! |
Ω |
1.4156983191936 |
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 |
10626m1 |
Quadratic twists by: -7 |