Atkin-Lehner |
2+ 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
42834j |
Isogeny class |
Conductor |
42834 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3.5047959195684E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-35699479,-77015172395] |
[a1,a2,a3,a4,a6] |
Generators |
[-2437239868396052062:-37938689785203642049:640303327065871] |
Generators of the group modulo torsion |
j |
2840228325499539204433/197836592675521536 |
j-invariant |
L |
5.0135572357582 |
L(r)(E,1)/r! |
Ω |
0.062034734052653 |
Real period |
R |
20.204637419351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
128502bu2 3894k2 |
Quadratic twists by: -3 -11 |