Atkin-Lehner |
2- 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
10650u |
Isogeny class |
Conductor |
10650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-58956735937500 = -1 · 22 · 312 · 58 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 6 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-60713,5744531] |
[a1,a2,a3,a4,a6] |
j |
-1583978245048009/3773231100 |
j-invariant |
L |
2.5069353214963 |
L(r)(E,1)/r! |
Ω |
0.62673383037407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85200df1 31950bd1 2130d1 |
Quadratic twists by: -4 -3 5 |