Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10640f |
Isogeny class |
Conductor |
10640 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
12045501440 = 210 · 5 · 73 · 193 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-250947947,-1530113279126] |
[a1,a2,a3,a4,a6] |
Generators |
[50829965242955067183450:11695614712593536916232921:880214980371893928] |
Generators of the group modulo torsion |
j |
1706768805632178182685889284/11763185 |
j-invariant |
L |
4.1755937698099 |
L(r)(E,1)/r! |
Ω |
0.037931816672173 |
Real period |
R |
36.693855239413 |
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 |
5320e4 42560bw4 95760v4 53200r4 |
Quadratic twists by: -4 8 -3 5 |