Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
25350bl |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
93600 |
Modular degree for the optimal curve |
Δ |
-128844667381950 = -1 · 2 · 35 · 52 · 139 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 13- 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-47831,-4067152] |
[a1,a2,a3,a4,a6] |
Generators |
[2478:25121:8] |
Generators of the group modulo torsion |
j |
-45646645/486 |
j-invariant |
L |
4.4174153208498 |
L(r)(E,1)/r! |
Ω |
0.16131237913751 |
Real period |
R |
2.7384230177923 |
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 |
76050fj1 25350co2 25350dd1 |
Quadratic twists by: -3 5 13 |