Atkin-Lehner |
3- 7+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
53613c |
Isogeny class |
Conductor |
53613 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
133073778977018019 = 38 · 7 · 238 · 37 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-164358,-18659795] |
[a1,a2,a3,a4,a6] |
j |
673550578985512033/182542906690011 |
j-invariant |
L |
1.9354139321018 |
L(r)(E,1)/r! |
Ω |
0.24192674161314 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17871a4 |
Quadratic twists by: -3 |