Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
25350bm |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-12973065300 = -1 · 22 · 310 · 52 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -5 13- 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-381,-6212] |
[a1,a2,a3,a4,a6] |
Generators |
[53:-378:1] |
Generators of the group modulo torsion |
j |
-110940205/236196 |
j-invariant |
L |
5.3015348806709 |
L(r)(E,1)/r! |
Ω |
0.50663493510663 |
Real period |
R |
0.26160527597426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050fl1 25350cp2 25350de1 |
Quadratic twists by: -3 5 13 |