Atkin-Lehner |
2+ 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60450n |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
87674460351562500 = 22 · 3 · 511 · 136 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-114750,4524000] |
[a1,a2,a3,a4,a6] |
j |
10694677240136161/5611165462500 |
j-invariant |
L |
1.7925527917717 |
L(r)(E,1)/r! |
Ω |
0.298758799453 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090bg1 |
Quadratic twists by: 5 |