Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
18600v |
Isogeny class |
Conductor |
18600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
21892781250000 = 24 · 36 · 59 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29083,1905412] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:1674:1] |
Generators of the group modulo torsion |
j |
87057508352/700569 |
j-invariant |
L |
4.9822678448475 |
L(r)(E,1)/r! |
Ω |
0.68249812628372 |
Real period |
R |
1.8250115469095 |
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 |
37200bc1 55800z1 18600m1 |
Quadratic twists by: -4 -3 5 |