Atkin-Lehner |
2- 3+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
107508c |
Isogeny class |
Conductor |
107508 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2350080 |
Modular degree for the optimal curve |
Δ |
-204308104562270064 = -1 · 24 · 310 · 178 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 6 -6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-307014,69095961] |
[a1,a2,a3,a4,a6] |
j |
-8286786611968/529019991 |
j-invariant |
L |
3.7454052194841 |
L(r)(E,1)/r! |
Ω |
0.31211706952043 |
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 |
6324c1 |
Quadratic twists by: 17 |