Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400it |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
-4.2313823813632E+21 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -4 2 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5568033,5945332063] |
[a1,a2,a3,a4,a6] |
Generators |
[-2091:91924:1] |
Generators of the group modulo torsion |
j |
-115501303/25600 |
j-invariant |
L |
2.4541870202897 |
L(r)(E,1)/r! |
Ω |
0.13233263682971 |
Real period |
R |
4.636397869234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942144 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78400ck1 19600cu1 15680ct1 78400ii1 |
Quadratic twists by: -4 8 5 -7 |