Atkin-Lehner |
2- 3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75840bt |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-45504000000 = -1 · 212 · 32 · 56 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,615,8217] |
[a1,a2,a3,a4,a6] |
Generators |
[9:120:1] |
Generators of the group modulo torsion |
j |
6270219584/11109375 |
j-invariant |
L |
6.3637342115937 |
L(r)(E,1)/r! |
Ω |
0.77946071264897 |
Real period |
R |
0.68035652805704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001598 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75840cr1 37920e1 |
Quadratic twists by: -4 8 |