Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550fb |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-2201472000 = -1 · 210 · 33 · 53 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -1 13+ -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,44,2258] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:41:1] [1:-49:1] |
Generators of the group modulo torsion |
j |
1588867/359424 |
j-invariant |
L |
10.171809014418 |
L(r)(E,1)/r! |
Ω |
1.1306713162137 |
Real period |
R |
0.74968802962156 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550if1 95550ca1 |
Quadratic twists by: 5 -7 |