Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462cd |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-960591132117467136 = -1 · 215 · 33 · 113 · 138 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 11- 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-423884,-116113201] |
[a1,a2,a3,a4,a6] |
Generators |
[789:5941:1] |
Generators of the group modulo torsion |
j |
-382431133539/43614208 |
j-invariant |
L |
6.5006989911725 |
L(r)(E,1)/r! |
Ω |
0.092956555925538 |
Real period |
R |
2.3310885844994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
33462i2 33462h1 |
Quadratic twists by: -3 13 |