Atkin-Lehner |
3+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23829c |
Isogeny class |
Conductor |
23829 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
20580061387071069 = 35 · 138 · 473 |
Discriminant |
Eigenvalues |
2 3+ 1 1 -1 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-543560,154274759] |
[a1,a2,a3,a4,a6] |
Generators |
[1204287988:6043495077:3241792] |
Generators of the group modulo torsion |
j |
3679653013295104/4263699141 |
j-invariant |
L |
9.8817701013893 |
L(r)(E,1)/r! |
Ω |
0.38249134913373 |
Real period |
R |
12.917638691397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71487r1 1833d1 |
Quadratic twists by: -3 13 |