Atkin-Lehner |
2- 3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
37050bm |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-601877250000 = -1 · 24 · 33 · 56 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,212,-37219] |
[a1,a2,a3,a4,a6] |
Generators |
[31:3:1] |
Generators of the group modulo torsion |
j |
67419143/38520144 |
j-invariant |
L |
7.9500527066094 |
L(r)(E,1)/r! |
Ω |
0.42828861086578 |
Real period |
R |
1.5468643699821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111150bb1 1482f1 |
Quadratic twists by: -3 5 |