Atkin-Lehner |
2+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
1850g |
Isogeny class |
Conductor |
1850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1800 |
Modular degree for the optimal curve |
Δ |
-32417920000 = -1 · 210 · 54 · 373 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 0 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-476,9498] |
[a1,a2,a3,a4,a6] |
Generators |
[17:71:1] |
Generators of the group modulo torsion |
j |
-19026212425/51868672 |
j-invariant |
L |
1.3974929904224 |
L(r)(E,1)/r! |
Ω |
1.0308458855899 |
Real period |
R |
0.67783798235886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
14800bj1 59200bo1 16650cv1 1850i1 |
Quadratic twists by: -4 8 -3 5 |