Atkin-Lehner |
2+ 3+ 23+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
10074j |
Isogeny class |
Conductor |
10074 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
3383227962916884 = 22 · 35 · 23 · 736 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-127336,-17317220] |
[a1,a2,a3,a4,a6] |
Generators |
[-223:338:1] [-207:578:1] |
Generators of the group modulo torsion |
j |
228340344010927005577/3383227962916884 |
j-invariant |
L |
3.5138263039244 |
L(r)(E,1)/r! |
Ω |
0.25295954351097 |
Real period |
R |
4.6302875882256 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80592bk2 30222q2 |
Quadratic twists by: -4 -3 |