Atkin-Lehner |
2- 3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60270bq |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-7966224993484800 = -1 · 220 · 32 · 52 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,49195,-891423] |
[a1,a2,a3,a4,a6] |
Generators |
[214:4303:1] |
Generators of the group modulo torsion |
j |
111917452231871/67711795200 |
j-invariant |
L |
13.019550896451 |
L(r)(E,1)/r! |
Ω |
0.24132602445064 |
Real period |
R |
1.348751230425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8610j1 |
Quadratic twists by: -7 |