Atkin-Lehner |
3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49725v |
Isogeny class |
Conductor |
49725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
309190826953125 = 36 · 58 · 13 · 174 |
Discriminant |
Eigenvalues |
-2 3- 5- -2 -2 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-52875,4602656] |
[a1,a2,a3,a4,a6] |
Generators |
[76:1011:1] |
Generators of the group modulo torsion |
j |
57409966080/1085773 |
j-invariant |
L |
2.3687570252024 |
L(r)(E,1)/r! |
Ω |
0.54487041217324 |
Real period |
R |
2.1736884333602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998314 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5525i1 49725t1 |
Quadratic twists by: -3 5 |