Atkin-Lehner |
2- 3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60270q |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
7057577455165440000 = 216 · 36 · 54 · 78 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1599606,-768800397] |
[a1,a2,a3,a4,a6] |
Generators |
[-671:2063:1] |
Generators of the group modulo torsion |
j |
3847463977937161681/59988418560000 |
j-invariant |
L |
8.2623869418065 |
L(r)(E,1)/r! |
Ω |
0.13437134067232 |
Real period |
R |
1.921537663025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999389 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8610s1 |
Quadratic twists by: -7 |