Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600hr |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
7321758454080000 = 29 · 34 · 54 · 710 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 0 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-500208,-136272312] |
[a1,a2,a3,a4,a6] |
Generators |
[-402:90:1] |
Generators of the group modulo torsion |
j |
153125000/81 |
j-invariant |
L |
8.6883714257439 |
L(r)(E,1)/r! |
Ω |
0.17952527993608 |
Real period |
R |
2.016515319264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999969239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600fw1 117600r1 117600fl1 |
Quadratic twists by: -4 5 -7 |