Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462cf |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-2298523849092601416 = -1 · 23 · 37 · 115 · 138 |
Discriminant |
Eigenvalues |
2- 3- 1 3 11+ 13+ -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,182488,66439923] |
[a1,a2,a3,a4,a6] |
Generators |
[-253:2133:1] |
Generators of the group modulo torsion |
j |
1130197991/3865224 |
j-invariant |
L |
10.142539834195 |
L(r)(E,1)/r! |
Ω |
0.18360325296975 |
Real period |
R |
4.6034677445984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154g1 33462bf1 |
Quadratic twists by: -3 13 |