Atkin-Lehner |
2- 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
41360k |
Isogeny class |
Conductor |
41360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-15924592640 = -1 · 217 · 5 · 11 · 472 |
Discriminant |
Eigenvalues |
2- -1 5- -1 11+ -4 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-760,10352] |
[a1,a2,a3,a4,a6] |
Generators |
[2:94:1] |
Generators of the group modulo torsion |
j |
-11867954041/3887840 |
j-invariant |
L |
3.7876436105341 |
L(r)(E,1)/r! |
Ω |
1.1711371937036 |
Real period |
R |
0.80853968922169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5170d1 |
Quadratic twists by: -4 |