Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920er |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-19472302080 = -1 · 214 · 32 · 5 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,399,5841] |
[a1,a2,a3,a4,a6] |
Generators |
[3:84:1] |
Generators of the group modulo torsion |
j |
427694384/1188495 |
j-invariant |
L |
4.8520614589592 |
L(r)(E,1)/r! |
Ω |
0.85623976579742 |
Real period |
R |
0.7083386062568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000714 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920ch1 18480bh1 |
Quadratic twists by: -4 8 |