Atkin-Lehner |
2+ 3+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96330x |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
785664 |
Modular degree for the optimal curve |
Δ |
-3336834558476250 = -1 · 2 · 311 · 54 · 133 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 5 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13302,-2846826] |
[a1,a2,a3,a4,a6] |
Generators |
[343:5581:1] |
Generators of the group modulo torsion |
j |
-118493764884613/1518814091250 |
j-invariant |
L |
5.4987726216283 |
L(r)(E,1)/r! |
Ω |
0.19068046721407 |
Real period |
R |
3.6047036515104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018408 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96330ch1 |
Quadratic twists by: 13 |