Atkin-Lehner |
2+ 3+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
63024b |
Isogeny class |
Conductor |
63024 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-735111936 = -1 · 28 · 37 · 13 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 1 3 2 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2665,-52091] |
[a1,a2,a3,a4,a6] |
j |
-8179718142976/2871531 |
j-invariant |
L |
2.9899576721926 |
L(r)(E,1)/r! |
Ω |
0.33221751907079 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31512d1 |
Quadratic twists by: -4 |