Atkin-Lehner |
3- 5- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
77775j |
Isogeny class |
Conductor |
77775 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
60160 |
Modular degree for the optimal curve |
Δ |
-32664333375 = -1 · 35 · 53 · 172 · 612 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1703,28272] |
[a1,a2,a3,a4,a6] |
Generators |
[13:85:1] |
Generators of the group modulo torsion |
j |
-4369920956549/261314667 |
j-invariant |
L |
5.9031245430856 |
L(r)(E,1)/r! |
Ω |
1.1513094137545 |
Real period |
R |
0.51273137103614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000182 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77775f1 |
Quadratic twists by: 5 |