Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550kl |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
972 |
Product of Tamagawa factors cp |
deg |
528768 |
Modular degree for the optimal curve |
Δ |
-153818912520000 = -1 · 26 · 36 · 54 · 74 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 13- -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-53313,4771017] |
[a1,a2,a3,a4,a6] |
Generators |
[132:-261:1] |
Generators of the group modulo torsion |
j |
-11167382937025/102503232 |
j-invariant |
L |
12.618218646135 |
L(r)(E,1)/r! |
Ω |
0.58000773928945 |
Real period |
R |
0.201437584171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002708 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
95550c1 95550hx1 |
Quadratic twists by: 5 -7 |