Atkin-Lehner |
2+ 7- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
61712b |
Isogeny class |
Conductor |
61712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-68456649626624 = -1 · 210 · 72 · 196 · 29 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- 3 3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7504,-307132] |
[a1,a2,a3,a4,a6] |
j |
45629357675324/66852196901 |
j-invariant |
L |
2.6185490594893 |
L(r)(E,1)/r! |
Ω |
0.32731863245854 |
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 |
30856d1 |
Quadratic twists by: -4 |