Atkin-Lehner |
2+ 3- 5- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
70110ba |
Isogeny class |
Conductor |
70110 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-29832024093750 = -1 · 2 · 36 · 56 · 19 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -3 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1539,264195] |
[a1,a2,a3,a4,a6] |
Generators |
[51:537:1] |
Generators of the group modulo torsion |
j |
-553185473329/40921843750 |
j-invariant |
L |
2.6050494689036 |
L(r)(E,1)/r! |
Ω |
0.54575388994593 |
Real period |
R |
1.193326111181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001149 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
7790d2 |
Quadratic twists by: -3 |