Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800cv |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-529912627200 = -1 · 216 · 35 · 52 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- 0 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,127,-34977] |
[a1,a2,a3,a4,a6] |
Generators |
[67:-528:1] |
Generators of the group modulo torsion |
j |
137180/323433 |
j-invariant |
L |
7.4020705642386 |
L(r)(E,1)/r! |
Ω |
0.42974301244328 |
Real period |
R |
0.28707352805003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800ec1 6600s1 52800br1 |
Quadratic twists by: -4 8 5 |