Atkin-Lehner |
3- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
78351r |
Isogeny class |
Conductor |
78351 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4.0528568861727E+26 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-299642694,-1745752171185] |
[a1,a2,a3,a4,a6] |
Generators |
[1808749671004002510:-31872048936106665831:91185763501000] |
Generators of the group modulo torsion |
j |
25289867340106778836243153/3444871512866802919173 |
j-invariant |
L |
4.5253826153803 |
L(r)(E,1)/r! |
Ω |
0.036614336221494 |
Real period |
R |
30.898980321046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11193a3 |
Quadratic twists by: -7 |