Atkin-Lehner |
2- 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
70700g |
Isogeny class |
Conductor |
70700 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
304560 |
Modular degree for the optimal curve |
Δ |
-546709843750000 = -1 · 24 · 510 · 73 · 1012 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -3 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1042,1124537] |
[a1,a2,a3,a4,a6] |
Generators |
[148:2121:1] |
Generators of the group modulo torsion |
j |
800000/3498943 |
j-invariant |
L |
10.22643291044 |
L(r)(E,1)/r! |
Ω |
0.4084087888535 |
Real period |
R |
1.391094357349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000444 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70700j1 |
Quadratic twists by: 5 |