Atkin-Lehner |
3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30855a |
Isogeny class |
Conductor |
30855 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-3054645 = -1 · 33 · 5 · 113 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 3 11+ 1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,14,-76] |
[a1,a2,a3,a4,a6] |
Generators |
[6:13:1] |
Generators of the group modulo torsion |
j |
226981/2295 |
j-invariant |
L |
2.6617509764869 |
L(r)(E,1)/r! |
Ω |
1.2483049958166 |
Real period |
R |
1.0661460882585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92565bm1 30855b1 |
Quadratic twists by: -3 -11 |