Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550fr |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1953504 |
Modular degree for the optimal curve |
Δ |
3609898094100480000 = 219 · 3 · 54 · 710 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-421426,-52302652] |
[a1,a2,a3,a4,a6] |
Generators |
[-3758748:68607596:9261] |
Generators of the group modulo torsion |
j |
46884122425/20447232 |
j-invariant |
L |
6.7681884065619 |
L(r)(E,1)/r! |
Ω |
0.19500221489198 |
Real period |
R |
11.569421393692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002393 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550gp1 95550bz1 |
Quadratic twists by: 5 -7 |