Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
13950t |
Isogeny class |
Conductor |
13950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-2383488281250 = -1 · 2 · 39 · 59 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,558,73966] |
[a1,a2,a3,a4,a6] |
Generators |
[29:323:1] |
Generators of the group modulo torsion |
j |
1685159/209250 |
j-invariant |
L |
3.9409753096763 |
L(r)(E,1)/r! |
Ω |
0.62783071732734 |
Real period |
R |
0.78464130555227 |
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 |
111600dr1 4650bb1 2790v1 |
Quadratic twists by: -4 -3 5 |