Atkin-Lehner |
3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
30855o |
Isogeny class |
Conductor |
30855 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1280448 |
Modular degree for the optimal curve |
Δ |
258945465087890625 = 3 · 518 · 113 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11+ 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7161470,-7377073725] |
[a1,a2,a3,a4,a6] |
j |
30517727539306343882651/194549560546875 |
j-invariant |
L |
0.83059953889847 |
L(r)(E,1)/r! |
Ω |
0.092288837655163 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92565u1 30855m1 |
Quadratic twists by: -3 -11 |