Atkin-Lehner |
3- 11+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
79101i |
Isogeny class |
Conductor |
79101 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
468480 |
Modular degree for the optimal curve |
Δ |
-31704789939746517 = -1 · 38 · 115 · 172 · 473 |
Discriminant |
Eigenvalues |
-1 3- 0 3 11+ 5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-63905,-10569562] |
[a1,a2,a3,a4,a6] |
j |
-39590804799015625/43490795527773 |
j-invariant |
L |
1.7271296507802 |
L(r)(E,1)/r! |
Ω |
0.14392747286745 |
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 |
26367c1 |
Quadratic twists by: -3 |