Atkin-Lehner |
2- 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
108360bt |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
18063395280 = 24 · 37 · 5 · 74 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2082,35989] |
[a1,a2,a3,a4,a6] |
Generators |
[30:23:1] |
Generators of the group modulo torsion |
j |
85569378304/1548645 |
j-invariant |
L |
6.7934199934844 |
L(r)(E,1)/r! |
Ω |
1.228132595769 |
Real period |
R |
2.765751848595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990409 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120m1 |
Quadratic twists by: -3 |