Atkin-Lehner |
2+ 5- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
58520i |
Isogeny class |
Conductor |
58520 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1543134132601600 = -1 · 28 · 52 · 74 · 114 · 193 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11- -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,26700,858452] |
[a1,a2,a3,a4,a6] |
Generators |
[662:-17556:1] |
Generators of the group modulo torsion |
j |
8222450451364784/6027867705475 |
j-invariant |
L |
10.355898980986 |
L(r)(E,1)/r! |
Ω |
0.30347917210759 |
Real period |
R |
0.71091499932455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000154 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117040k2 |
Quadratic twists by: -4 |