Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
38220p |
Isogeny class |
Conductor |
38220 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1438894329600 = 28 · 3 · 52 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9620,-355368] |
[a1,a2,a3,a4,a6] |
Generators |
[24558:18865:216] |
Generators of the group modulo torsion |
j |
3269383504/47775 |
j-invariant |
L |
5.596325937955 |
L(r)(E,1)/r! |
Ω |
0.48248784101174 |
Real period |
R |
5.7994476360487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114660bb2 5460d2 |
Quadratic twists by: -3 -7 |