Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
127200cj |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-795000000000000 = -1 · 212 · 3 · 513 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16867,-1068363] |
[a1,a2,a3,a4,a6] |
Generators |
[3748:21875:64] |
Generators of the group modulo torsion |
j |
8291469824/12421875 |
j-invariant |
L |
7.3364012329244 |
L(r)(E,1)/r! |
Ω |
0.26648025968189 |
Real period |
R |
3.4413436236327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000126877 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127200bg1 25440r1 |
Quadratic twists by: -4 5 |