Atkin-Lehner |
2- 3- 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
74340v |
Isogeny class |
Conductor |
74340 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
9208620691200 = 28 · 310 · 52 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6807,159406] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:590:1] |
Generators of the group modulo torsion |
j |
186906097744/49343175 |
j-invariant |
L |
7.3089678945725 |
L(r)(E,1)/r! |
Ω |
0.68220355064528 |
Real period |
R |
0.89281367307688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000712 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24780i2 |
Quadratic twists by: -3 |