Atkin-Lehner |
3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
30855j |
Isogeny class |
Conductor |
30855 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-7037281177584075 = -1 · 316 · 52 · 113 · 173 |
Discriminant |
Eigenvalues |
-2 3- 5+ -1 11+ 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,38504,-2785964] |
[a1,a2,a3,a4,a6] |
Generators |
[227:-4208:1] |
Generators of the group modulo torsion |
j |
4742986881028096/5287213506825 |
j-invariant |
L |
2.8929516073513 |
L(r)(E,1)/r! |
Ω |
0.22644814657183 |
Real period |
R |
0.066538218644724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92565bk1 30855g1 |
Quadratic twists by: -3 -11 |