Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400jf |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-3.22828856E+19 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- -5 5 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2018800,1137388000] |
[a1,a2,a3,a4,a6] |
Generators |
[945:8575:1] |
Generators of the group modulo torsion |
j |
-30211716096/1071875 |
j-invariant |
L |
2.8359967151938 |
L(r)(E,1)/r! |
Ω |
0.20663965519184 |
Real period |
R |
1.7155448165765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400df1 19600bc1 15680dw1 11200cs1 |
Quadratic twists by: -4 8 5 -7 |