Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200ig |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
57634833312000 = 28 · 37 · 53 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12495,394450] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:882:1] |
Generators of the group modulo torsion |
j |
78608/21 |
j-invariant |
L |
6.809930547522 |
L(r)(E,1)/r! |
Ω |
0.58513185531552 |
Real period |
R |
0.7273927333459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999909406 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400cf1 88200du1 12600cm1 |
Quadratic twists by: -3 5 -7 |