Atkin-Lehner |
3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61605b |
Isogeny class |
Conductor |
61605 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
590976 |
Modular degree for the optimal curve |
Δ |
-9342720688044195 = -1 · 39 · 5 · 377 |
Discriminant |
Eigenvalues |
2 3+ 5- 4 0 -1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,36963,3760985] |
[a1,a2,a3,a4,a6] |
j |
110592/185 |
j-invariant |
L |
8.9695199732913 |
L(r)(E,1)/r! |
Ω |
0.28029749924534 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61605a1 1665a1 |
Quadratic twists by: -3 37 |