Atkin-Lehner |
2+ 3- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31122j |
Isogeny class |
Conductor |
31122 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-2117056870656 = -1 · 28 · 314 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 5 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3159,14413] |
[a1,a2,a3,a4,a6] |
Generators |
[2:143:1] |
Generators of the group modulo torsion |
j |
4781539277423/2904056064 |
j-invariant |
L |
3.2481205858973 |
L(r)(E,1)/r! |
Ω |
0.50723375788055 |
Real period |
R |
1.6008992577059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10374h1 |
Quadratic twists by: -3 |