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 |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
11539079183655936 = 210 · 34 · 119 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11+ -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-129412,-17211259] |
[a1,a2,a3,a4,a6] |
Generators |
[-235:657:1] |
Generators of the group modulo torsion |
j |
101651408963/4893696 |
j-invariant |
L |
7.087469702857 |
L(r)(E,1)/r! |
Ω |
0.25246457474042 |
Real period |
R |
2.8073125546984 |
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 |
128502k1 42834c1 |
Quadratic twists by: -3 -11 |