Atkin-Lehner |
2- 5- 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
116560u |
Isogeny class |
Conductor |
116560 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
499200 |
Modular degree for the optimal curve |
Δ |
-19097190400000 = -1 · 222 · 55 · 31 · 47 |
Discriminant |
Eigenvalues |
2- 2 5- 3 6 -2 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22240,-1286400] |
[a1,a2,a3,a4,a6] |
j |
-297021331323361/4662400000 |
j-invariant |
L |
7.8115857845992 |
L(r)(E,1)/r! |
Ω |
0.19528964163288 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14570k1 |
Quadratic twists by: -4 |