Atkin-Lehner |
3- 5+ 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
86925j |
Isogeny class |
Conductor |
86925 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
51701760 |
Modular degree for the optimal curve |
Δ |
-5.6343626357575E+27 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -6 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,75639037,-3602547632208] |
[a1,a2,a3,a4,a6] |
j |
3062962351453544306963351/360599208688479882459375 |
j-invariant |
L |
0.89120110531093 |
L(r)(E,1)/r! |
Ω |
0.020254567976386 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17385c1 |
Quadratic twists by: 5 |