Atkin-Lehner |
2+ 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10010a |
Isogeny class |
Conductor |
10010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2999928960118090 = -1 · 2 · 5 · 72 · 118 · 134 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-48935,-4917745] |
[a1,a2,a3,a4,a6] |
Generators |
[199593:969551:729] |
Generators of the group modulo torsion |
j |
-12959477208091719369/2999928960118090 |
j-invariant |
L |
2.4849147372067 |
L(r)(E,1)/r! |
Ω |
0.15854812278555 |
Real period |
R |
7.8364684915499 |
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 |
80080bd3 90090dm3 50050bt3 70070s3 |
Quadratic twists by: -4 -3 5 -7 |