Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37200cr |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-13392000000000 = -1 · 213 · 33 · 59 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 -2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,992,175988] |
[a1,a2,a3,a4,a6] |
Generators |
[68:750:1] |
Generators of the group modulo torsion |
j |
1685159/209250 |
j-invariant |
L |
7.055479950392 |
L(r)(E,1)/r! |
Ω |
0.54371735048169 |
Real period |
R |
0.54068226994395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4650bb1 111600dr1 7440l1 |
Quadratic twists by: -4 -3 5 |