Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
43120s |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
404044748800 = 211 · 52 · 72 · 115 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 11+ 5 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-66880,6634900] |
[a1,a2,a3,a4,a6] |
Generators |
[150:20:1] |
Generators of the group modulo torsion |
j |
329680277223458/4026275 |
j-invariant |
L |
7.3006338686204 |
L(r)(E,1)/r! |
Ω |
0.86091928686157 |
Real period |
R |
1.060005563244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21560t1 43120a1 |
Quadratic twists by: -4 -7 |