Atkin-Lehner |
2- 3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
60720bv |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-1942226783354880000 = -1 · 217 · 311 · 54 · 11 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11- -5 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,53360,66865600] |
[a1,a2,a3,a4,a6] |
j |
4102070196173039/474176460780000 |
j-invariant |
L |
3.2286567684953 |
L(r)(E,1)/r! |
Ω |
0.20179104844115 |
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 |
7590z1 |
Quadratic twists by: -4 |