Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800po |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
13826598912000 = 214 · 39 · 53 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-555420,-159323600] |
[a1,a2,a3,a4,a6] |
Generators |
[866:3024:1] |
Generators of the group modulo torsion |
j |
12692020761488/9261 |
j-invariant |
L |
7.1038450296081 |
L(r)(E,1)/r! |
Ω |
0.17488163107038 |
Real period |
R |
3.385072986582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010388 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800gn1 25200ci1 33600hg1 100800op1 |
Quadratic twists by: -4 8 -3 5 |