Atkin-Lehner |
2+ 3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270s |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
244224 |
Modular degree for the optimal curve |
Δ |
-171958545000 = -1 · 23 · 34 · 54 · 114 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14039,639362] |
[a1,a2,a3,a4,a6] |
Generators |
[66:-71:1] |
Generators of the group modulo torsion |
j |
-20898591836089/11745000 |
j-invariant |
L |
6.5063390401921 |
L(r)(E,1)/r! |
Ω |
1.0046189659793 |
Real period |
R |
0.80955308261844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999990883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105270bz1 |
Quadratic twists by: -11 |