Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350q |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-79406491305024000 = -1 · 29 · 32 · 53 · 1310 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 1 13+ 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-443290,114222100] |
[a1,a2,a3,a4,a6] |
j |
-559043381/4608 |
j-invariant |
L |
1.3789092198034 |
L(r)(E,1)/r! |
Ω |
0.3447273049509 |
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 |
76050fu1 25350dh1 25350cf1 |
Quadratic twists by: -3 5 13 |