Atkin-Lehner |
2- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
12350u |
Isogeny class |
Conductor |
12350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16416 |
Modular degree for the optimal curve |
Δ |
-146656250 = -1 · 2 · 56 · 13 · 192 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 0 13- -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1530,-22653] |
[a1,a2,a3,a4,a6] |
j |
-25334470953/9386 |
j-invariant |
L |
0.76337726844918 |
L(r)(E,1)/r! |
Ω |
0.38168863422459 |
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 |
98800by1 111150cb1 494c1 |
Quadratic twists by: -4 -3 5 |