Atkin-Lehner |
2+ 3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550co |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
-2424280874449218750 = -1 · 2 · 36 · 59 · 75 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 7 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-412242,-126351334] |
[a1,a2,a3,a4,a6] |
j |
-5441560307469/1702649942 |
j-invariant |
L |
1.8544505157589 |
L(r)(E,1)/r! |
Ω |
0.092722496622966 |
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 |
12950q1 116550fm1 |
Quadratic twists by: -3 5 |