Atkin-Lehner |
3+ 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105bm |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
994560 |
Modular degree for the optimal curve |
Δ |
-4241798656170075 = -1 · 35 · 52 · 79 · 113 · 13 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- 11- 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,40360,-295282] |
[a1,a2,a3,a4,a6] |
Generators |
[82:1886:1] |
Generators of the group modulo torsion |
j |
180170657792/105115725 |
j-invariant |
L |
3.0477159854991 |
L(r)(E,1)/r! |
Ω |
0.25836464367313 |
Real period |
R |
0.98301505262652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999341573 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105105cb1 |
Quadratic twists by: -7 |