Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810ca |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
50411420010000 = 24 · 34 · 54 · 76 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-338101,-75809077] |
[a1,a2,a3,a4,a6] |
Generators |
[721:7114:1] |
Generators of the group modulo torsion |
j |
36330796409313601/428490000 |
j-invariant |
L |
7.6565960688038 |
L(r)(E,1)/r! |
Ω |
0.19798771412063 |
Real period |
R |
4.8340095891874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
101430co2 690k2 |
Quadratic twists by: -3 -7 |