Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200cw |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-2813028750000 = -1 · 24 · 38 · 57 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1050,79625] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:225:1] |
Generators of the group modulo torsion |
j |
2048/45 |
j-invariant |
L |
7.3069058802787 |
L(r)(E,1)/r! |
Ω |
0.60307609508797 |
Real period |
R |
0.75725372202182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400cy1 17640ci1 88200cx1 |
Quadratic twists by: -3 5 -7 |