Atkin-Lehner |
5+ 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
55825c |
Isogeny class |
Conductor |
55825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8869401857421875 = -1 · 59 · 76 · 113 · 29 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ 11+ 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-21091383,-37275528582] |
[a1,a2,a3,a4,a6] |
Generators |
[51306:2415871:8] [12382:1264812:1] |
Generators of the group modulo torsion |
j |
-66407767620630399778816/567641718875 |
j-invariant |
L |
6.4857361413502 |
L(r)(E,1)/r! |
Ω |
0.035224374720023 |
Real period |
R |
23.015795854798 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11165d2 |
Quadratic twists by: 5 |