Atkin-Lehner |
2+ 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
25456a |
Isogeny class |
Conductor |
25456 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-15069952 = -1 · 28 · 372 · 43 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 -1 -3 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-193,987] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:37:1] [6:9:1] |
Generators of the group modulo torsion |
j |
-3121792000/58867 |
j-invariant |
L |
5.4048798767816 |
L(r)(E,1)/r! |
Ω |
2.2170986203944 |
Real period |
R |
1.2189083126624 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12728a1 101824k1 |
Quadratic twists by: -4 8 |