Atkin-Lehner |
2- 3+ 5- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
62010be |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-193471200 = -1 · 25 · 33 · 52 · 132 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 3 13+ 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18632,983531] |
[a1,a2,a3,a4,a6] |
Generators |
[81:-71:1] |
Generators of the group modulo torsion |
j |
-26492108320631043/7165600 |
j-invariant |
L |
12.530300243367 |
L(r)(E,1)/r! |
Ω |
1.4328057504055 |
Real period |
R |
0.2186322228279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997585 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62010a1 |
Quadratic twists by: -3 |