Atkin-Lehner |
2+ 3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
37128d |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
4173559148304 = 24 · 35 · 75 · 13 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 0 13+ 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10200,387549] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:833:1] |
Generators of the group modulo torsion |
j |
7335788843981056/260847446769 |
j-invariant |
L |
5.3285790785413 |
L(r)(E,1)/r! |
Ω |
0.7741923629812 |
Real period |
R |
0.22942528383265 |
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 |
74256w1 111384cc1 |
Quadratic twists by: -4 -3 |