Atkin-Lehner |
2- 3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65100o |
Isogeny class |
Conductor |
65100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
684288 |
Modular degree for the optimal curve |
Δ |
-562804147291680000 = -1 · 28 · 39 · 54 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 0 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,206292,1412712] |
[a1,a2,a3,a4,a6] |
j |
6068044867550000/3517525920573 |
j-invariant |
L |
1.3993352552876 |
L(r)(E,1)/r! |
Ω |
0.17491690689853 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65100u1 |
Quadratic twists by: 5 |