Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400cq |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11806312448000000 = 217 · 56 · 78 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 0 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-197633,33344863] |
[a1,a2,a3,a4,a6] |
Generators |
[-467:4900:1] [-453:5488:1] |
Generators of the group modulo torsion |
j |
3543122/49 |
j-invariant |
L |
7.7259966706897 |
L(r)(E,1)/r! |
Ω |
0.4031759722786 |
Real period |
R |
2.3953550068519 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999617 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78400ib2 9800bg2 3136j2 11200i2 |
Quadratic twists by: -4 8 5 -7 |