Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
62496q |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
728953344 = 29 · 38 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-187491,-31247750] |
[a1,a2,a3,a4,a6] |
Generators |
[-34747170122:-22803885:138991832] |
Generators of the group modulo torsion |
j |
1952843763499784/1953 |
j-invariant |
L |
5.7357815857944 |
L(r)(E,1)/r! |
Ω |
0.22943224163204 |
Real period |
R |
12.499946705427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62496n4 124992fw4 20832be3 |
Quadratic twists by: -4 8 -3 |