Atkin-Lehner |
2- 3- 5- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370bw |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
431970361344000 = 216 · 310 · 53 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27842,-1475391] |
[a1,a2,a3,a4,a6] |
Generators |
[257:-3009:1] [-111:543:1] |
Generators of the group modulo torsion |
j |
3274031454654169/592551936000 |
j-invariant |
L |
15.173361681065 |
L(r)(E,1)/r! |
Ω |
0.37419647612999 |
Real period |
R |
0.84477466213538 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26790b1 |
Quadratic twists by: -3 |