Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18050s |
Isogeny class |
Conductor |
18050 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
102600 |
Modular degree for the optimal curve |
Δ |
-4904853006240800 = -1 · 25 · 52 · 1910 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 -1 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,40725,-1170853] |
[a1,a2,a3,a4,a6] |
Generators |
[125:2358:1] |
Generators of the group modulo torsion |
j |
48735/32 |
j-invariant |
L |
6.2361710758721 |
L(r)(E,1)/r! |
Ω |
0.24667171136033 |
Real period |
R |
5.0562515186531 |
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 |
18050l1 18050b1 |
Quadratic twists by: 5 -19 |