Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
117600fl |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
62233920000 = 29 · 34 · 54 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 0 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10208,400212] |
[a1,a2,a3,a4,a6] |
Generators |
[68:-126:1] |
Generators of the group modulo torsion |
j |
153125000/81 |
j-invariant |
L |
5.8869306428984 |
L(r)(E,1)/r! |
Ω |
1.0924973241436 |
Real period |
R |
0.44904233613865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059444 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600hk1 117600cf1 117600hr1 |
Quadratic twists by: -4 5 -7 |