Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400en |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-6125000000 = -1 · 26 · 59 · 72 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 4 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,292,3338] |
[a1,a2,a3,a4,a6] |
Generators |
[-1981:13250:343] |
Generators of the group modulo torsion |
j |
448 |
j-invariant |
L |
8.6226785571248 |
L(r)(E,1)/r! |
Ω |
0.93290733050554 |
Real period |
R |
4.6214014376377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400ez1 39200bd1 78400ey1 78400dt1 |
Quadratic twists by: -4 8 5 -7 |