Atkin-Lehner |
2- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
101920bk |
Isogeny class |
Conductor |
101920 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-5193843200000 = -1 · 212 · 55 · 74 · 132 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 0 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3985,147617] |
[a1,a2,a3,a4,a6] |
Generators |
[89:700:1] [49:260:1] |
Generators of the group modulo torsion |
j |
-711812416/528125 |
j-invariant |
L |
10.36100391113 |
L(r)(E,1)/r! |
Ω |
0.70405173233563 |
Real period |
R |
0.12263544751258 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991233 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101920k1 101920x1 |
Quadratic twists by: -4 -7 |