Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810cs |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
390 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-2748249907200 = -1 · 213 · 35 · 52 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 0 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16906,848420] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:1286:1] |
Generators of the group modulo torsion |
j |
-222564427157569/1144627200 |
j-invariant |
L |
10.012284189714 |
L(r)(E,1)/r! |
Ω |
0.81149135816932 |
Real period |
R |
0.031636225456897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101430bv1 33810ck1 |
Quadratic twists by: -3 -7 |