Atkin-Lehner |
3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18975f |
Isogeny class |
Conductor |
18975 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2025284765625 = 34 · 58 · 112 · 232 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6063,-170844] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:138:1] |
Generators of the group modulo torsion |
j |
1577505447721/129618225 |
j-invariant |
L |
2.9915552823318 |
L(r)(E,1)/r! |
Ω |
0.54386276414072 |
Real period |
R |
2.7502850715091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56925k2 3795k2 |
Quadratic twists by: -3 5 |