Atkin-Lehner |
2- 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
68894u |
Isogeny class |
Conductor |
68894 |
Conductor |
∏ cp |
220 |
Product of Tamagawa factors cp |
deg |
49758720 |
Modular degree for the optimal curve |
Δ |
-4.2862139386917E+26 |
Discriminant |
Eigenvalues |
2- 2 3 7- 4 6 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-322689774,2443253382443] |
[a1,a2,a3,a4,a6] |
j |
-10833909434762332987038018439/1249625055012166628113408 |
j-invariant |
L |
11.335782233572 |
L(r)(E,1)/r! |
Ω |
0.05152628297208 |
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 |
68894bd1 |
Quadratic twists by: -7 |