Atkin-Lehner |
2- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18850w |
Isogeny class |
Conductor |
18850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-37700 = -1 · 22 · 52 · 13 · 29 |
Discriminant |
Eigenvalues |
2- -3 5+ 1 2 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15,27] |
[a1,a2,a3,a4,a6] |
Generators |
[3:0:1] |
Generators of the group modulo torsion |
j |
-14016105/1508 |
j-invariant |
L |
5.3120868851725 |
L(r)(E,1)/r! |
Ω |
3.5540056142208 |
Real period |
R |
0.74733799855534 |
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 |
18850j1 |
Quadratic twists by: 5 |