Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35322f |
Isogeny class |
Conductor |
35322 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
328767773056161642 = 2 · 34 · 76 · 297 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ -4 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-206062,-23220830] |
[a1,a2,a3,a4,a6] |
Generators |
[-207:3362:1] |
Generators of the group modulo torsion |
j |
1626794704081/552715002 |
j-invariant |
L |
1.4470189193799 |
L(r)(E,1)/r! |
Ω |
0.23024679682936 |
Real period |
R |
3.142321498725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105966cb2 1218j2 |
Quadratic twists by: -3 29 |