Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960ch |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-931361282064384000 = -1 · 224 · 3 · 53 · 236 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-114440,-48726288] |
[a1,a2,a3,a4,a6] |
Generators |
[514:5290:1] [2722:140714:1] |
Generators of the group modulo torsion |
j |
-273359449/1536000 |
j-invariant |
L |
9.6949454452161 |
L(r)(E,1)/r! |
Ω |
0.11648825453756 |
Real period |
R |
6.9355672248154 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002327 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15870u3 240b3 |
Quadratic twists by: -4 -23 |