Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400j |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
19343462314803200 = 227 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 0 2 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-573953,-167421857] |
[a1,a2,a3,a4,a6] |
Generators |
[-940537:250368:2197] |
Generators of the group modulo torsion |
j |
553463785/512 |
j-invariant |
L |
4.56530479294 |
L(r)(E,1)/r! |
Ω |
0.17346207159138 |
Real period |
R |
6.57968735097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992303 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400gh2 2450t2 78400dv2 78400ca2 |
Quadratic twists by: -4 8 5 -7 |