Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13050c |
Isogeny class |
Conductor |
13050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
529708896000000 = 211 · 39 · 56 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7372392,-7702945984] |
[a1,a2,a3,a4,a6] |
Generators |
[61702:4991949:8] |
Generators of the group modulo torsion |
j |
144091275020705979/1722368 |
j-invariant |
L |
2.6492687313401 |
L(r)(E,1)/r! |
Ω |
0.091621510504867 |
Real period |
R |
7.2288393760966 |
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 |
104400cy2 13050bc2 522g2 |
Quadratic twists by: -4 -3 5 |