Atkin-Lehner |
3+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
76725l |
Isogeny class |
Conductor |
76725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
406384751953125 = 39 · 59 · 11 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 11- 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-200180,34509322] |
[a1,a2,a3,a4,a6] |
j |
23076099423/10571 |
j-invariant |
L |
1.048663352571 |
L(r)(E,1)/r! |
Ω |
0.52433167644131 |
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 |
76725f2 76725k2 |
Quadratic twists by: -3 5 |