Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720bt |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
27437936768000 = 210 · 53 · 118 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 11- 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2440328,1467305048] |
[a1,a2,a3,a4,a6] |
Generators |
[451759:7955387:343] |
Generators of the group modulo torsion |
j |
885956203616256/15125 |
j-invariant |
L |
6.4555415415611 |
L(r)(E,1)/r! |
Ω |
0.4766470967069 |
Real period |
R |
6.7718250946661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38720g1 9680g1 3520p1 |
Quadratic twists by: -4 8 -11 |