Atkin-Lehner |
2+ 3+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
38064g |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1375752701426688 = -1 · 210 · 33 · 138 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25616,824848] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:598:1] |
Generators of the group modulo torsion |
j |
1815267971589692/1343508497487 |
j-invariant |
L |
5.4371235960402 |
L(r)(E,1)/r! |
Ω |
0.30679351858358 |
Real period |
R |
2.2153025026172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19032j4 114192s3 |
Quadratic twists by: -4 -3 |