Atkin-Lehner |
2- 3- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
46992q |
Isogeny class |
Conductor |
46992 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
4741604233445376 = 226 · 38 · 112 · 89 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-202152,-34893900] |
[a1,a2,a3,a4,a6] |
Generators |
[-252:330:1] |
Generators of the group modulo torsion |
j |
223048876338925993/1157618221056 |
j-invariant |
L |
7.7253314436804 |
L(r)(E,1)/r! |
Ω |
0.22522445786842 |
Real period |
R |
2.1437867796422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999922 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5874a1 |
Quadratic twists by: -4 |