Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200cx |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-330950019408750000 = -1 · 24 · 38 · 57 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51450,-27311375] |
[a1,a2,a3,a4,a6] |
Generators |
[1145:39150:1] |
Generators of the group modulo torsion |
j |
2048/45 |
j-invariant |
L |
4.6630400575439 |
L(r)(E,1)/r! |
Ω |
0.14775448077664 |
Real period |
R |
3.9449227056941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400ef1 17640ct1 88200cw1 |
Quadratic twists by: -3 5 -7 |