Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568cn |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
-34642273936785408 = -1 · 214 · 33 · 238 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 2 -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,64891,-6323235] |
[a1,a2,a3,a4,a6] |
Generators |
[1731444:50753847:2197] |
Generators of the group modulo torsion |
j |
23552/27 |
j-invariant |
L |
4.6227131427163 |
L(r)(E,1)/r! |
Ω |
0.19788825604144 |
Real period |
R |
7.7867399180422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999888104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101568bj1 25392h1 101568ci1 |
Quadratic twists by: -4 8 -23 |