Atkin-Lehner |
2+ 3+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
101184i |
Isogeny class |
Conductor |
101184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-44760563712 = -1 · 220 · 34 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 4 4 0 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,319,-10047] |
[a1,a2,a3,a4,a6] |
j |
13651919/170748 |
j-invariant |
L |
4.4676158180011 |
L(r)(E,1)/r! |
Ω |
0.55845201534499 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101184bl1 3162b1 |
Quadratic twists by: -4 8 |