Atkin-Lehner |
2- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
7448v |
Isogeny class |
Conductor |
7448 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
6000 |
Modular degree for the optimal curve |
Δ |
-31060185856 = -1 · 28 · 72 · 195 |
Discriminant |
Eigenvalues |
2- 2 1 7- 4 -2 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1465,-22707] |
[a1,a2,a3,a4,a6] |
j |
-27739393024/2476099 |
j-invariant |
L |
3.8386697005459 |
L(r)(E,1)/r! |
Ω |
0.38386697005459 |
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 |
14896n1 59584w1 67032be1 7448i1 |
Quadratic twists by: -4 8 -3 -7 |