Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25080r |
Isogeny class |
Conductor |
25080 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-759021469354368000 = -1 · 210 · 310 · 53 · 114 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 6 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,207384,-20802816] |
[a1,a2,a3,a4,a6] |
Generators |
[360:10032:1] |
Generators of the group modulo torsion |
j |
963268596008435804/741231903666375 |
j-invariant |
L |
6.9577007609801 |
L(r)(E,1)/r! |
Ω |
0.15847340174571 |
Real period |
R |
0.731742223441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50160b1 75240p1 125400p1 |
Quadratic twists by: -4 -3 5 |