Atkin-Lehner |
2- 3- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
101184bg |
Isogeny class |
Conductor |
101184 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-379509766220676096 = -1 · 210 · 316 · 172 · 313 |
Discriminant |
Eigenvalues |
2- 3- 1 1 4 0 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,139535,-21771289] |
[a1,a2,a3,a4,a6] |
j |
293406758350451456/370615006074879 |
j-invariant |
L |
5.1533894679889 |
L(r)(E,1)/r! |
Ω |
0.16104342099848 |
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 |
101184j1 25296d1 |
Quadratic twists by: -4 8 |