Atkin-Lehner |
3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
7623b |
Isogeny class |
Conductor |
7623 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
1447194468169989 = 39 · 73 · 118 |
Discriminant |
Eigenvalues |
-2 3+ 1 7+ 11- 4 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-35937,1877708] |
[a1,a2,a3,a4,a6] |
j |
1216512/343 |
j-invariant |
L |
0.89184620134546 |
L(r)(E,1)/r! |
Ω |
0.44592310067273 |
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 |
121968db1 7623a1 53361r1 7623c1 |
Quadratic twists by: -4 -3 -7 -11 |