Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350bf |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
5644800 |
Modular degree for the optimal curve |
Δ |
-2.7741461966354E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 3 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-60046211,-196208032642] |
[a1,a2,a3,a4,a6] |
j |
-198417696411528597145/22989483914821632 |
j-invariant |
L |
2.1553549893781 |
L(r)(E,1)/r! |
Ω |
0.026941937367229 |
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 |
76050ev1 25350ci2 1950y1 |
Quadratic twists by: -3 5 13 |