Atkin-Lehner |
2- 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
42834v |
Isogeny class |
Conductor |
42834 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
2363908582762848 = 25 · 32 · 119 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11+ -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2046052,-1127329147] |
[a1,a2,a3,a4,a6] |
Generators |
[-22317:9875:27] |
Generators of the group modulo torsion |
j |
401734898254403/1002528 |
j-invariant |
L |
7.087469702857 |
L(r)(E,1)/r! |
Ω |
0.12623228737021 |
Real period |
R |
5.6146251093967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128502k2 42834c2 |
Quadratic twists by: -3 -11 |