Atkin-Lehner |
3+ 5+ 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
33495c |
Isogeny class |
Conductor |
33495 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1203709815 = 34 · 5 · 7 · 114 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5436,-156522] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:24:1] |
Generators of the group modulo torsion |
j |
17765075173745089/1203709815 |
j-invariant |
L |
2.3455032658928 |
L(r)(E,1)/r! |
Ω |
0.55600800236491 |
Real period |
R |
2.1092351692031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100485t4 |
Quadratic twists by: -3 |