Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568bm |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-32131964231221248 = -1 · 220 · 32 · 237 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -6 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51489,-9743553] |
[a1,a2,a3,a4,a6] |
Generators |
[50109:11216916:1] |
Generators of the group modulo torsion |
j |
-389017/828 |
j-invariant |
L |
6.7300080334583 |
L(r)(E,1)/r! |
Ω |
0.14854742020734 |
Real period |
R |
5.6631815304056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999723588 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568ct1 3174a1 4416h1 |
Quadratic twists by: -4 8 -23 |