Atkin-Lehner |
5+ 11- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
103675p |
Isogeny class |
Conductor |
103675 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
673848 |
Modular degree for the optimal curve |
Δ |
-31039653148075 = -1 · 52 · 117 · 133 · 29 |
Discriminant |
Eigenvalues |
-2 2 5+ -4 11- 13+ 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-26658,-1687742] |
[a1,a2,a3,a4,a6] |
j |
-83807461373440000/1241586125923 |
j-invariant |
L |
1.3065531266746 |
L(r)(E,1)/r! |
Ω |
0.18665036466671 |
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 |
103675bi1 |
Quadratic twists by: 5 |