Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200bs |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-632786798700000000 = -1 · 28 · 317 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -1 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,161700,-28955500] |
[a1,a2,a3,a4,a6] |
Generators |
[226:4374:1] |
Generators of the group modulo torsion |
j |
3272428544/4428675 |
j-invariant |
L |
6.395476502377 |
L(r)(E,1)/r! |
Ω |
0.15365528911734 |
Real period |
R |
1.3006948325821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400cm1 17640cn1 88200bd1 |
Quadratic twists by: -3 5 -7 |