Atkin-Lehner |
2- 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
61100j |
Isogeny class |
Conductor |
61100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-258147500000000 = -1 · 28 · 510 · 133 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 -3 13- 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-151533,-22667063] |
[a1,a2,a3,a4,a6] |
j |
-96202919256064/64536875 |
j-invariant |
L |
1.4517983131997 |
L(r)(E,1)/r! |
Ω |
0.1209831928454 |
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 |
12220a1 |
Quadratic twists by: 5 |