Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200il |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-1654750097043750000 = -1 · 24 · 38 · 58 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91875,62811875] |
[a1,a2,a3,a4,a6] |
Generators |
[-175:8575:1] |
Generators of the group modulo torsion |
j |
-160000/3087 |
j-invariant |
L |
6.5590093684442 |
L(r)(E,1)/r! |
Ω |
0.22412135182738 |
Real period |
R |
0.60969661003733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004619 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400bb1 88200cm1 12600ci1 |
Quadratic twists by: -3 5 -7 |