Atkin-Lehner |
2- 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98394bq |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
246400 |
Modular degree for the optimal curve |
Δ |
-35684939258784 = -1 · 25 · 35 · 236 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 2 3 -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7924,-93648] |
[a1,a2,a3,a4,a6] |
Generators |
[274:4624:1] |
Generators of the group modulo torsion |
j |
371694959/241056 |
j-invariant |
L |
14.268248013678 |
L(r)(E,1)/r! |
Ω |
0.37263462805791 |
Real period |
R |
0.76580365624339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999882227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
186b1 |
Quadratic twists by: -23 |