Atkin-Lehner |
2- 3+ 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
76860b |
Isogeny class |
Conductor |
76860 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
1961484529777920 = 28 · 39 · 5 · 73 · 613 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38232,1933524] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:11529:8] |
Generators of the group modulo torsion |
j |
1226516815872/389272415 |
j-invariant |
L |
8.0571379436001 |
L(r)(E,1)/r! |
Ω |
0.43157898835422 |
Real period |
R |
1.0371653549377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000098 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76860a1 |
Quadratic twists by: -3 |