Atkin-Lehner |
2+ 3+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970o |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-71810302800234240 = -1 · 28 · 35 · 5 · 116 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-229902,-44440524] |
[a1,a2,a3,a4,a6] |
Generators |
[9753526340:-674439168138:2048383] |
Generators of the group modulo torsion |
j |
-758575480593601/40535043840 |
j-invariant |
L |
3.6574979264571 |
L(r)(E,1)/r! |
Ω |
0.10867660269926 |
Real period |
R |
16.827439554179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001932 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
570i1 |
Quadratic twists by: -11 |