Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400p |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-3.022415986688E+25 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7+ 2 0 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,71995700,-121149658000] |
[a1,a2,a3,a4,a6] |
Generators |
[850312424220:-574889936075000:1860867] |
Generators of the group modulo torsion |
j |
1747829720511/1280000000 |
j-invariant |
L |
13.308375409489 |
L(r)(E,1)/r! |
Ω |
0.037087414400949 |
Real period |
R |
14.951585356348 |
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 |
78400go2 2450c2 15680bl2 78400dk2 |
Quadratic twists by: -4 8 5 -7 |