Atkin-Lehner |
2- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800cp |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-1.8060747498168E+19 |
Discriminant |
Eigenvalues |
2- -1 5- 3 11+ 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-462008,237676912] |
[a1,a2,a3,a4,a6] |
Generators |
[6538:161051:8] |
Generators of the group modulo torsion |
j |
-4260231253278025/7054979491472 |
j-invariant |
L |
5.6920841586637 |
L(r)(E,1)/r! |
Ω |
0.19545052870753 |
Real period |
R |
2.4269074617147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350l1 74800bl2 |
Quadratic twists by: -4 5 |