Atkin-Lehner |
5+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
51205a |
Isogeny class |
Conductor |
51205 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
22644131125 = 53 · 74 · 11 · 193 |
Discriminant |
Eigenvalues |
0 1 5+ 7+ 11- -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5651,-165245] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:9:1] |
Generators of the group modulo torsion |
j |
8313508102144/9431125 |
j-invariant |
L |
4.2988251040128 |
L(r)(E,1)/r! |
Ω |
0.55066998535104 |
Real period |
R |
0.86739289681241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999564 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51205p2 |
Quadratic twists by: -7 |