Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
127200du |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
96472296000 = 26 · 34 · 53 · 533 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20098398,34674194808] |
[a1,a2,a3,a4,a6] |
Generators |
[3078:44520:1] |
Generators of the group modulo torsion |
j |
112232354272851345684416/12059037 |
j-invariant |
L |
10.252346420525 |
L(r)(E,1)/r! |
Ω |
0.41727026958086 |
Real period |
R |
2.0475031792158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999783628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127200ct1 127200n1 |
Quadratic twists by: -4 5 |