Atkin-Lehner |
2+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20350c |
Isogeny class |
Conductor |
20350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-10534241093750000 = -1 · 24 · 510 · 113 · 373 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 11+ 1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-45325,-6197875] |
[a1,a2,a3,a4,a6] |
Generators |
[2494:122855:1] |
Generators of the group modulo torsion |
j |
-1054513341025/1078706288 |
j-invariant |
L |
2.2572840946407 |
L(r)(E,1)/r! |
Ω |
0.15715590094306 |
Real period |
R |
7.1816714520269 |
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 |
20350be2 |
Quadratic twists by: 5 |