Atkin-Lehner |
3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
25773k |
Isogeny class |
Conductor |
25773 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
20128713 = 3 · 113 · 712 |
Discriminant |
Eigenvalues |
-1 3- 2 -2 11+ -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3462,-78693] |
[a1,a2,a3,a4,a6] |
j |
3447741430043/15123 |
j-invariant |
L |
0.62239665472313 |
L(r)(E,1)/r! |
Ω |
0.62239665472316 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77319k1 25773j1 |
Quadratic twists by: -3 -11 |