Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400gx |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
752953600000000 = 214 · 58 · 76 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34300,-2058000] |
[a1,a2,a3,a4,a6] |
Generators |
[8680:808500:1] |
Generators of the group modulo torsion |
j |
148176/25 |
j-invariant |
L |
6.8586656162156 |
L(r)(E,1)/r! |
Ω |
0.35484245125745 |
Real period |
R |
4.8321907299987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002785 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
78400w2 19600i2 15680dk2 1600p2 |
Quadratic twists by: -4 8 5 -7 |