Atkin-Lehner |
2- 3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60900ba |
Isogeny class |
Conductor |
60900 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-11049696000 = -1 · 28 · 35 · 53 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -5 -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3893,92343] |
[a1,a2,a3,a4,a6] |
Generators |
[13:210:1] [-62:315:1] |
Generators of the group modulo torsion |
j |
-203956944896/345303 |
j-invariant |
L |
11.068453928392 |
L(r)(E,1)/r! |
Ω |
1.2782875184397 |
Real period |
R |
0.14431356754949 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60900k1 |
Quadratic twists by: 5 |