Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966s |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-37288551250944 = -1 · 210 · 32 · 77 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26534,-1700460] |
[a1,a2,a3,a4,a6] |
j |
-3574558889/64512 |
j-invariant |
L |
1.4946576539401 |
L(r)(E,1)/r! |
Ω |
0.18683221036278 |
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 |
12138l1 84966by1 |
Quadratic twists by: -7 17 |