Atkin-Lehner |
2+ 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
121024a |
Isogeny class |
Conductor |
121024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
61964288 = 215 · 31 · 61 |
Discriminant |
Eigenvalues |
2+ 0 2 0 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80684,-8821232] |
[a1,a2,a3,a4,a6] |
Generators |
[318721199155976715:-277098496964688421:970740111828375] |
Generators of the group modulo torsion |
j |
1772703243405576/1891 |
j-invariant |
L |
8.2729946721849 |
L(r)(E,1)/r! |
Ω |
0.28327138080725 |
Real period |
R |
29.205190252749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000123958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121024h4 60512b4 |
Quadratic twists by: -4 8 |