Atkin-Lehner |
3+ 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105963j |
Isogeny class |
Conductor |
105963 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
23896320 |
Modular degree for the optimal curve |
Δ |
9.1837078366678E+20 |
Discriminant |
Eigenvalues |
2 3+ -4 1 11- 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-81511460,283277465447] |
[a1,a2,a3,a4,a6] |
j |
12408509569080558997504/190264579283493 |
j-invariant |
L |
2.8777583489138 |
L(r)(E,1)/r! |
Ω |
0.14388792135847 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8151b1 |
Quadratic twists by: 13 |