Atkin-Lehner |
2+ 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8850a |
Isogeny class |
Conductor |
8850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4589208984375000 = 23 · 33 · 514 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-100253125,-386404296875] |
[a1,a2,a3,a4,a6] |
Generators |
[-14550659545182999548505:7277602525198653431447:2516871209318581375] |
Generators of the group modulo torsion |
j |
7131771986839837165458001/293709375000 |
j-invariant |
L |
3.023814697707 |
L(r)(E,1)/r! |
Ω |
0.047711720141889 |
Real period |
R |
31.688384832013 |
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 |
70800cm6 26550bt6 1770h5 |
Quadratic twists by: -4 -3 5 |