Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86800cs |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
53385472000000000 = 217 · 59 · 7 · 313 |
Discriminant |
Eigenvalues |
2- 3 5- 7- -3 -1 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-443875,113281250] |
[a1,a2,a3,a4,a6] |
Generators |
[9750:7750:27] |
Generators of the group modulo torsion |
j |
1208970715077/6673184 |
j-invariant |
L |
12.432076685501 |
L(r)(E,1)/r! |
Ω |
0.35640525237686 |
Real period |
R |
2.9068213278037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014557 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10850o1 86800cm1 |
Quadratic twists by: -4 5 |