Atkin-Lehner |
2- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
52022i |
Isogeny class |
Conductor |
52022 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-9010338528937472 = -1 · 29 · 193 · 376 |
Discriminant |
Eigenvalues |
2- 1 0 -1 -6 -5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12977,4532473] |
[a1,a2,a3,a4,a6] |
Generators |
[114:-2795:1] [-108:1423:1] |
Generators of the group modulo torsion |
j |
94196375/3511808 |
j-invariant |
L |
14.737733916453 |
L(r)(E,1)/r! |
Ω |
0.31081802396938 |
Real period |
R |
1.3171099038957 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38a1 |
Quadratic twists by: 37 |