Atkin-Lehner |
2+ 3- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
105120m |
Isogeny class |
Conductor |
105120 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
394240 |
Modular degree for the optimal curve |
Δ |
-186216926400000 = -1 · 29 · 313 · 55 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -6 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60627,-5783146] |
[a1,a2,a3,a4,a6] |
Generators |
[313:2430:1] |
Generators of the group modulo torsion |
j |
-66027439914632/498909375 |
j-invariant |
L |
6.8073471270964 |
L(r)(E,1)/r! |
Ω |
0.15205723192809 |
Real period |
R |
1.119208055584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999584971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105120k1 35040i1 |
Quadratic twists by: -4 -3 |