Atkin-Lehner |
3+ 5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
31005a |
Isogeny class |
Conductor |
31005 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3593820555 = 39 · 5 · 13 · 532 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 -6 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9330,-344539] |
[a1,a2,a3,a4,a6] |
Generators |
[910:1443:8] |
Generators of the group modulo torsion |
j |
4563557574003/182585 |
j-invariant |
L |
3.1661198385192 |
L(r)(E,1)/r! |
Ω |
0.48576699574914 |
Real period |
R |
6.5177747072677 |
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 |
31005e2 |
Quadratic twists by: -3 |