Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200ep |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
20275200 |
Modular degree for the optimal curve |
Δ |
-6.7507613675568E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11- 1 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1962111000,-33452877130000] |
[a1,a2,a3,a4,a6] |
Generators |
[11616196:4784931657:64] |
Generators of the group modulo torsion |
j |
-716220782494793351680/5787689787 |
j-invariant |
L |
7.9794553114813 |
L(r)(E,1)/r! |
Ω |
0.011341974477519 |
Real period |
R |
10.992705849483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004667 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79200el1 26400m1 79200bs1 |
Quadratic twists by: -4 -3 5 |