Atkin-Lehner |
2- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
25550w |
Isogeny class |
Conductor |
25550 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-219862451200000000 = -1 · 216 · 58 · 76 · 73 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -3 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-116263,-27244983] |
[a1,a2,a3,a4,a6] |
Generators |
[1702:67749:1] |
Generators of the group modulo torsion |
j |
-444926718180625/562847875072 |
j-invariant |
L |
4.9528835669359 |
L(r)(E,1)/r! |
Ω |
0.12339951234336 |
Real period |
R |
0.41809352545921 |
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 |
25550i1 |
Quadratic twists by: 5 |