Atkin-Lehner |
2- 3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31350bk |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1881000000 = 26 · 32 · 56 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-913,10031] |
[a1,a2,a3,a4,a6] |
Generators |
[5:72:1] |
Generators of the group modulo torsion |
j |
5386984777/120384 |
j-invariant |
L |
7.8360611727149 |
L(r)(E,1)/r! |
Ω |
1.4799492739026 |
Real period |
R |
0.44123478367897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94050k1 1254e1 |
Quadratic twists by: -3 5 |