Atkin-Lehner |
2+ 3- 5- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23970j |
Isogeny class |
Conductor |
23970 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
133632 |
Modular degree for the optimal curve |
Δ |
-451160193937500 = -1 · 22 · 312 · 56 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7037,996938] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:410:1] |
Generators of the group modulo torsion |
j |
38545623826493399/451160193937500 |
j-invariant |
L |
4.0138478322631 |
L(r)(E,1)/r! |
Ω |
0.38935900591105 |
Real period |
R |
1.2886076125526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
71910bd1 119850ca1 |
Quadratic twists by: -3 5 |