Atkin-Lehner |
2+ 3+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
13350a |
Isogeny class |
Conductor |
13350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9913626562500 = 22 · 32 · 58 · 893 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3304625,-2313609375] |
[a1,a2,a3,a4,a6] |
Generators |
[5000:323375:1] |
Generators of the group modulo torsion |
j |
255429141422627949841/634472100 |
j-invariant |
L |
2.4176497795574 |
L(r)(E,1)/r! |
Ω |
0.11197446384065 |
Real period |
R |
5.3977703858399 |
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 |
106800br3 40050bh3 2670e3 |
Quadratic twists by: -4 -3 5 |