Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550is |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1693440 |
Modular degree for the optimal curve |
Δ |
-702585121875000000 = -1 · 26 · 3 · 511 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -1 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-279938,69807492] |
[a1,a2,a3,a4,a6] |
Generators |
[-288:11394:1] |
Generators of the group modulo torsion |
j |
-26934258841/7800000 |
j-invariant |
L |
13.634014447158 |
L(r)(E,1)/r! |
Ω |
0.27114636516178 |
Real period |
R |
2.0951191229557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009292 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19110d1 95550hd1 |
Quadratic twists by: 5 -7 |