Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712fh |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-37969772544 = -1 · 214 · 36 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 3 2 11- 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17856,-918432] |
[a1,a2,a3,a4,a6] |
Generators |
[24371818392759531:118655274454238521:147423882533283] |
Generators of the group modulo torsion |
j |
-52714340352/3179 |
j-invariant |
L |
10.665283497508 |
L(r)(E,1)/r! |
Ω |
0.20650089739644 |
Real period |
R |
25.823818762957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107712bt1 26928bm1 11968o1 |
Quadratic twists by: -4 8 -3 |