Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350bc |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
975744 |
Modular degree for the optimal curve |
Δ |
-7.48446075E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 5 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,998474,160645448] |
[a1,a2,a3,a4,a6] |
j |
41689615345255319/28343520000000 |
j-invariant |
L |
2.6862308443086 |
L(r)(E,1)/r! |
Ω |
0.12210140201404 |
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 |
76050er1 5070n1 25350cx1 |
Quadratic twists by: -3 5 13 |