Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400c |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
92236816000000 = 210 · 56 · 78 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 3 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-697433,-224414737] |
[a1,a2,a3,a4,a6] |
Generators |
[-24482135085482509825176934040082:-1102977424550211970728488833963:50746309917607883045585314539] |
Generators of the group modulo torsion |
j |
406749952 |
j-invariant |
L |
7.8921310231842 |
L(r)(E,1)/r! |
Ω |
0.16520528772094 |
Real period |
R |
47.77166113784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400ge2 4900a2 3136b2 78400bo2 |
Quadratic twists by: -4 8 5 -7 |