Atkin-Lehner |
2+ 3- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
102306f |
Isogeny class |
Conductor |
102306 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
620160 |
Modular degree for the optimal curve |
Δ |
-33221791368288 = -1 · 25 · 36 · 176 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 5 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-206786,36177140] |
[a1,a2,a3,a4,a6] |
j |
-40512641613625/1376352 |
j-invariant |
L |
3.6767215245659 |
L(r)(E,1)/r! |
Ω |
0.61278690512067 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
354c1 |
Quadratic twists by: 17 |