Atkin-Lehner |
2- 5+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
10270c |
Isogeny class |
Conductor |
10270 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-136714240000 = -1 · 214 · 54 · 132 · 79 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,474,17380] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:106:1] |
Generators of the group modulo torsion |
j |
11776099630751/136714240000 |
j-invariant |
L |
4.8903959675592 |
L(r)(E,1)/r! |
Ω |
0.76466120023119 |
Real period |
R |
0.45682192005713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82160j1 92430r1 51350k1 |
Quadratic twists by: -4 -3 5 |