Atkin-Lehner |
2+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33440a |
Isogeny class |
Conductor |
33440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-464032837875200 = -1 · 29 · 52 · 114 · 195 |
Discriminant |
Eigenvalues |
2+ -1 5+ 3 11+ -7 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-272536,54863336] |
[a1,a2,a3,a4,a6] |
Generators |
[341:1210:1] |
Generators of the group modulo torsion |
j |
-4372471397265580232/906314136475 |
j-invariant |
L |
3.7057561038544 |
L(r)(E,1)/r! |
Ω |
0.51177469925226 |
Real period |
R |
1.8102478049761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33440h1 66880dr1 |
Quadratic twists by: -4 8 |