Atkin-Lehner |
2+ 3- 7- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60606o |
Isogeny class |
Conductor |
60606 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
135475200 |
Modular degree for the optimal curve |
Δ |
4.299966645689E+30 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4180491558,-29497033396044] |
[a1,a2,a3,a4,a6] |
Generators |
[-316059633567495210730305377415:71601418726709257254474035569437:8279499617751784922066377] |
Generators of the group modulo torsion |
j |
11083533446102725098278955572833/5898445330163273864438611968 |
j-invariant |
L |
3.7509021984129 |
L(r)(E,1)/r! |
Ω |
0.019949198144841 |
Real period |
R |
47.005676258007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20202k1 |
Quadratic twists by: -3 |