Atkin-Lehner |
2- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56350bb |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
3810240 |
Modular degree for the optimal curve |
Δ |
-1.753508344175E+19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 0 7 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36998088,86604590281] |
[a1,a2,a3,a4,a6] |
j |
-62180929511972089/194672000 |
j-invariant |
L |
2.6709138234438 |
L(r)(E,1)/r! |
Ω |
0.19077955882631 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11270b1 56350bi1 |
Quadratic twists by: 5 -7 |