Atkin-Lehner |
2- 3- 5- 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
93330bo |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
152 |
Product of Tamagawa factors cp |
deg |
680960 |
Modular degree for the optimal curve |
Δ |
-743151697920000 = -1 · 219 · 37 · 54 · 17 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 5 -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-91427,10743779] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-2894:1] |
Generators of the group modulo torsion |
j |
-115935152846007529/1019412480000 |
j-invariant |
L |
12.480186927687 |
L(r)(E,1)/r! |
Ω |
0.50871832703758 |
Real period |
R |
0.16139873183597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012147 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31110c1 |
Quadratic twists by: -3 |