Atkin-Lehner |
3+ 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
75705c |
Isogeny class |
Conductor |
75705 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2006313574804245 = -1 · 38 · 5 · 78 · 1032 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -2 0 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-58311,-5856726] |
[a1,a2,a3,a4,a6] |
j |
-186374892382561/17053384005 |
j-invariant |
L |
0.61127241144258 |
L(r)(E,1)/r! |
Ω |
0.15281810136484 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10815l2 |
Quadratic twists by: -7 |