Atkin-Lehner |
3+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19425m |
Isogeny class |
Conductor |
19425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
385920 |
Modular degree for the optimal curve |
Δ |
-6413441466796875 = -1 · 33 · 59 · 74 · 373 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- 6 -1 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-392208,-94489432] |
[a1,a2,a3,a4,a6] |
Generators |
[767:7437:1] |
Generators of the group modulo torsion |
j |
-3416206573555712/3283682031 |
j-invariant |
L |
2.4073472579612 |
L(r)(E,1)/r! |
Ω |
0.095381758096718 |
Real period |
R |
3.1548842593153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58275bh1 19425y1 |
Quadratic twists by: -3 5 |