Atkin-Lehner |
2+ 3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
60720i |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-99735332400 = -1 · 24 · 34 · 52 · 11 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1495,-26450] |
[a1,a2,a3,a4,a6] |
Generators |
[115647220:3310870815:140608] |
Generators of the group modulo torsion |
j |
-23110948673536/6233458275 |
j-invariant |
L |
7.2705885598263 |
L(r)(E,1)/r! |
Ω |
0.37854658705912 |
Real period |
R |
9.6032942946577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000402 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30360bh1 |
Quadratic twists by: -4 |