Atkin-Lehner |
2+ 3- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13530f |
Isogeny class |
Conductor |
13530 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-184177125000000 = -1 · 26 · 33 · 59 · 113 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11+ -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-159199,-24470734] |
[a1,a2,a3,a4,a6] |
Generators |
[535:6332:1] |
Generators of the group modulo torsion |
j |
-446211538942090278889/184177125000000 |
j-invariant |
L |
3.4906568681111 |
L(r)(E,1)/r! |
Ω |
0.11950169058327 |
Real period |
R |
4.8683507475553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108240w2 40590br2 67650br2 |
Quadratic twists by: -4 -3 5 |