Atkin-Lehner |
2- 3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
37050cm |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
450 |
Product of Tamagawa factors cp |
deg |
936000 |
Modular degree for the optimal curve |
Δ |
-1386725184000000000 = -1 · 215 · 35 · 59 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 5 13+ -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-134013,-59731983] |
[a1,a2,a3,a4,a6] |
Generators |
[1002:-29001:1] |
Generators of the group modulo torsion |
j |
-136280796685181/710003294208 |
j-invariant |
L |
11.986061660689 |
L(r)(E,1)/r! |
Ω |
0.11240553724732 |
Real period |
R |
0.23696068033288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111150cf1 37050u1 |
Quadratic twists by: -3 5 |