Atkin-Lehner |
2+ 3+ 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25080d |
Isogeny class |
Conductor |
25080 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
2951388656226450000 = 24 · 324 · 55 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-394855,47968900] |
[a1,a2,a3,a4,a6] |
j |
425517822354901374976/184461791014153125 |
j-invariant |
L |
1.1435047392449 |
L(r)(E,1)/r! |
Ω |
0.22870094784896 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50160x1 75240bd1 125400cn1 |
Quadratic twists by: -4 -3 5 |