Atkin-Lehner |
3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345c |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
847907676801950625 = 34 · 54 · 74 · 178 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1129996,459743804] |
[a1,a2,a3,a4,a6] |
Generators |
[-509:30310:1] |
Generators of the group modulo torsion |
j |
6610905152742241/35128130625 |
j-invariant |
L |
2.4716716061248 |
L(r)(E,1)/r! |
Ω |
0.28304352313665 |
Real period |
R |
4.3662394721739 |
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 |
91035bg2 1785o2 |
Quadratic twists by: -3 17 |