Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
30690z |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
40211663269971600 = 24 · 310 · 52 · 116 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-348908,78824031] |
[a1,a2,a3,a4,a6] |
Generators |
[-565:10047:1] |
Generators of the group modulo torsion |
j |
6443588518022803321/55160031920400 |
j-invariant |
L |
7.9108465553051 |
L(r)(E,1)/r! |
Ω |
0.3647855642588 |
Real period |
R |
2.7107865998545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10230j2 |
Quadratic twists by: -3 |