Atkin-Lehner |
2+ 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
62496d |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-16812579926016 = -1 · 212 · 39 · 7 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 4 -1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1944,200016] |
[a1,a2,a3,a4,a6] |
j |
-10077696/208537 |
j-invariant |
L |
2.3339000260758 |
L(r)(E,1)/r! |
Ω |
0.58347500581662 |
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 |
62496c1 124992dy1 62496ba1 |
Quadratic twists by: -4 8 -3 |