Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42840bi |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-50389311409920 = -1 · 28 · 39 · 5 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9153,-55134] |
[a1,a2,a3,a4,a6] |
Generators |
[55:784:1] |
Generators of the group modulo torsion |
j |
16829950608/10000165 |
j-invariant |
L |
6.9294490183162 |
L(r)(E,1)/r! |
Ω |
0.37031250542763 |
Real period |
R |
1.5593696577769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680f2 42840b2 |
Quadratic twists by: -4 -3 |