Atkin-Lehner |
2- 3+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
107640u |
Isogeny class |
Conductor |
107640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
670208 |
Modular degree for the optimal curve |
Δ |
-199510164771840 = -1 · 210 · 33 · 5 · 137 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 3 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-350523,79880102] |
[a1,a2,a3,a4,a6] |
j |
-172269959394022668/7216079455 |
j-invariant |
L |
2.1220179018207 |
L(r)(E,1)/r! |
Ω |
0.53050465624139 |
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 |
107640d1 |
Quadratic twists by: -3 |