Atkin-Lehner |
2+ 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
42834a |
Isogeny class |
Conductor |
42834 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
290307734838 = 2 · 32 · 113 · 594 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11+ -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2510,39846] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:272:1] [15:69:1] |
Generators of the group modulo torsion |
j |
1314731733875/218112498 |
j-invariant |
L |
5.3670612972535 |
L(r)(E,1)/r! |
Ω |
0.92977422785531 |
Real period |
R |
1.443108750614 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128502bk2 42834t2 |
Quadratic twists by: -3 -11 |