Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930de |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-492222032117760000 = -1 · 224 · 3 · 54 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,187669,12672561] |
[a1,a2,a3,a4,a6] |
Generators |
[186:7257:1] |
Generators of the group modulo torsion |
j |
6213165856218719/4183818240000 |
j-invariant |
L |
9.1504825834596 |
L(r)(E,1)/r! |
Ω |
0.18528873416015 |
Real period |
R |
1.0288539920474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83790cj1 3990t1 |
Quadratic twists by: -3 -7 |