Atkin-Lehner |
3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345a |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6.5183491312151E+26 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 0 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-361520943,-2343460232862] |
[a1,a2,a3,a4,a6] |
Generators |
[15488150344401704997669652150863446511473358462:-16550944961815408570074193399219357995871581128347:13571842036097283574395335901890657693544] |
Generators of the group modulo torsion |
j |
216486375407331255135001/27004994294227023375 |
j-invariant |
L |
4.5830138362865 |
L(r)(E,1)/r! |
Ω |
0.034906708263731 |
Real period |
R |
65.64660582803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91035bh2 1785n2 |
Quadratic twists by: -3 17 |