Atkin-Lehner |
2- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37570q |
Isogeny class |
Conductor |
37570 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
409600 |
Modular degree for the optimal curve |
Δ |
251030717600000 = 28 · 55 · 13 · 176 |
Discriminant |
Eigenvalues |
2- -2 5- 4 2 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-243055,-46135623] |
[a1,a2,a3,a4,a6] |
Generators |
[-286:213:1] |
Generators of the group modulo torsion |
j |
65787589563409/10400000 |
j-invariant |
L |
8.14742805353 |
L(r)(E,1)/r! |
Ω |
0.21501934036685 |
Real period |
R |
1.8945802827853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
130c1 |
Quadratic twists by: 17 |