Atkin-Lehner |
2- 3+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31122t |
Isogeny class |
Conductor |
31122 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
10444610921472 = 210 · 33 · 76 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 0 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11177,430185] |
[a1,a2,a3,a4,a6] |
Generators |
[173:1824:1] |
Generators of the group modulo torsion |
j |
5718725787695283/386837441536 |
j-invariant |
L |
6.0002221395515 |
L(r)(E,1)/r! |
Ω |
0.70863854159066 |
Real period |
R |
0.14112089091483 |
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 |
31122e1 |
Quadratic twists by: -3 |