Atkin-Lehner |
2- 3+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970bv |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
79833600 |
Modular degree for the optimal curve |
Δ |
-4.9431971015101E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11- -3 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,917477960,-103591845895] |
[a1,a2,a3,a4,a6] |
j |
3292939724890125839639/1905816470814720000 |
j-invariant |
L |
4.2557710323366 |
L(r)(E,1)/r! |
Ω |
0.021278855256297 |
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 |
68970q1 |
Quadratic twists by: -11 |