Atkin-Lehner |
2+ 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
60600r |
Isogeny class |
Conductor |
60600 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
49280 |
Modular degree for the optimal curve |
Δ |
-35783694000 = -1 · 24 · 311 · 53 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -5 -2 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-423,9558] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:45:1] [9:-81:1] |
Generators of the group modulo torsion |
j |
-4195088384/17891847 |
j-invariant |
L |
11.15221079807 |
L(r)(E,1)/r! |
Ω |
1.0094771610246 |
Real period |
R |
0.25107981250693 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121200y1 60600y1 |
Quadratic twists by: -4 5 |