Atkin-Lehner |
2- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33350m |
Isogeny class |
Conductor |
33350 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
22052687500000 = 25 · 59 · 233 · 29 |
Discriminant |
Eigenvalues |
2- -3 5+ -4 5 3 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7980,157647] |
[a1,a2,a3,a4,a6] |
Generators |
[329:-5915:1] |
Generators of the group modulo torsion |
j |
3596344921161/1411372000 |
j-invariant |
L |
5.1289419757935 |
L(r)(E,1)/r! |
Ω |
0.61738459866463 |
Real period |
R |
0.13845885765231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6670b1 |
Quadratic twists by: 5 |