Atkin-Lehner |
2- 5+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
123370u |
Isogeny class |
Conductor |
123370 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
32363520 |
Modular degree for the optimal curve |
Δ |
8.2637897883142E+21 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 0 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1104766946,14133182138863] |
[a1,a2,a3,a4,a6] |
Generators |
[48363481797:-1304732982937:2803221] |
Generators of the group modulo torsion |
j |
30894104702580488978080681/1712060657116160 |
j-invariant |
L |
14.59204240936 |
L(r)(E,1)/r! |
Ω |
0.09842622175786 |
Real period |
R |
14.82536060799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069173 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9490c1 |
Quadratic twists by: 13 |