Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050i |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1376545591687500 = 22 · 33 · 56 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 4 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-266967,53129441] |
[a1,a2,a3,a4,a6] |
Generators |
[49:6313:1] |
Generators of the group modulo torsion |
j |
1033364331/676 |
j-invariant |
L |
4.7107589869628 |
L(r)(E,1)/r! |
Ω |
0.47600786776976 |
Real period |
R |
1.2370486149007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976893 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76050dm2 3042i2 5850be2 |
Quadratic twists by: -3 5 13 |