Atkin-Lehner |
2+ 3+ 5- 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
108630c |
Isogeny class |
Conductor |
108630 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
-23281239545856000 = -1 · 214 · 33 · 53 · 174 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 2 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2391,7340365] |
[a1,a2,a3,a4,a6] |
j |
55975309220277/862268131328000 |
j-invariant |
L |
3.5973831186135 |
L(r)(E,1)/r! |
Ω |
0.29978191532029 |
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 |
108630g1 |
Quadratic twists by: -3 |