Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
53724l |
Isogeny class |
Conductor |
53724 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-521180179166064 = -1 · 24 · 3 · 118 · 373 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 11- 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76754,-8283651] |
[a1,a2,a3,a4,a6] |
Generators |
[9583933242975:255039331321923:11774546875] |
Generators of the group modulo torsion |
j |
-14580451072/151959 |
j-invariant |
L |
9.6062949360703 |
L(r)(E,1)/r! |
Ω |
0.14332568673523 |
Real period |
R |
22.341412659259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53724k2 |
Quadratic twists by: -11 |