Atkin-Lehner |
2- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
36518c |
Isogeny class |
Conductor |
36518 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-129639437691032 = -1 · 23 · 19 · 318 |
Discriminant |
Eigenvalues |
2- 1 2 -5 -4 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12473,-111263] |
[a1,a2,a3,a4,a6] |
Generators |
[10452:155261:64] |
Generators of the group modulo torsion |
j |
241804367/146072 |
j-invariant |
L |
9.7715255648062 |
L(r)(E,1)/r! |
Ω |
0.3402924126064 |
Real period |
R |
4.7858475058561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1178c1 |
Quadratic twists by: -31 |