Atkin-Lehner |
2+ 3+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31122a |
Isogeny class |
Conductor |
31122 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6193807074 = 2 · 39 · 72 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -4 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5523,-156565] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:27:1] |
Generators of the group modulo torsion |
j |
946676900259/314678 |
j-invariant |
L |
2.7868663220044 |
L(r)(E,1)/r! |
Ω |
0.55380997196966 |
Real period |
R |
2.5160853569435 |
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 |
31122p2 |
Quadratic twists by: -3 |