Atkin-Lehner |
2+ 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
42834a |
Isogeny class |
Conductor |
42834 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
55598532 = 22 · 3 · 113 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11+ -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2400,44268] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:306:1] [-4:234:1] |
Generators of the group modulo torsion |
j |
1149375921875/41772 |
j-invariant |
L |
5.3670612972535 |
L(r)(E,1)/r! |
Ω |
1.8595484557106 |
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 |
128502bk1 42834t1 |
Quadratic twists by: -3 -11 |