Atkin-Lehner |
3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345j |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2355299102227640625 = 32 · 56 · 74 · 178 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-334812,10265211] |
[a1,a2,a3,a4,a6] |
j |
171963096231529/97578140625 |
j-invariant |
L |
1.3340772077517 |
L(r)(E,1)/r! |
Ω |
0.22234620129259 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
91035j2 1785j2 |
Quadratic twists by: -3 17 |