Atkin-Lehner |
2+ 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
25850a |
Isogeny class |
Conductor |
25850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
827200 = 26 · 52 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 11+ 1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-275,1645] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:31:1] [6:13:1] |
Generators of the group modulo torsion |
j |
92522430625/33088 |
j-invariant |
L |
4.7807664034488 |
L(r)(E,1)/r! |
Ω |
2.768391074956 |
Real period |
R |
0.86345575354183 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25850o1 |
Quadratic twists by: 5 |