Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
30690z |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.2766561719393E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-600008,-49337409] |
[a1,a2,a3,a4,a6] |
Generators |
[-619:9507:1] |
Generators of the group modulo torsion |
j |
32769259536137668921/17512430342103180 |
j-invariant |
L |
7.9108465553051 |
L(r)(E,1)/r! |
Ω |
0.1823927821294 |
Real period |
R |
5.421573199709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230j3 |
Quadratic twists by: -3 |