Atkin-Lehner |
2- 3+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31122t |
Isogeny class |
Conductor |
31122 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
3055543519392 = 25 · 33 · 73 · 134 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 0 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-175817,28418985] |
[a1,a2,a3,a4,a6] |
Generators |
[257:-528:1] |
Generators of the group modulo torsion |
j |
22260772341651971763/113168278496 |
j-invariant |
L |
6.0002221395515 |
L(r)(E,1)/r! |
Ω |
0.70863854159066 |
Real period |
R |
0.28224178182966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31122e2 |
Quadratic twists by: -3 |