Atkin-Lehner |
2- 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24642l |
Isogeny class |
Conductor |
24642 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
-59793412403482848 = -1 · 25 · 39 · 377 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 5 3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-316496,-69456365] |
[a1,a2,a3,a4,a6] |
j |
-69426531/1184 |
j-invariant |
L |
2.0107956585309 |
L(r)(E,1)/r! |
Ω |
0.10053978292655 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24642a1 666a1 |
Quadratic twists by: -3 37 |