Atkin-Lehner |
2+ 5- 19+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
15770a |
Isogeny class |
Conductor |
15770 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
525096 |
Modular degree for the optimal curve |
Δ |
-227718800000000000 = -1 · 213 · 511 · 193 · 83 |
Discriminant |
Eigenvalues |
2+ -3 5- 3 4 1 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-202174,-41799020] |
[a1,a2,a3,a4,a6] |
j |
-913904532986079997881/227718800000000000 |
j-invariant |
L |
1.2222825912466 |
L(r)(E,1)/r! |
Ω |
0.11111659920423 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126160m1 78850i1 |
Quadratic twists by: -4 5 |