Atkin-Lehner |
2+ 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
66978g |
Isogeny class |
Conductor |
66978 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1428480 |
Modular degree for the optimal curve |
Δ |
-6680729582071345044 = -1 · 22 · 312 · 617 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 -3 -1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-151398,-126369288] |
[a1,a2,a3,a4,a6] |
j |
-10218313/177876 |
j-invariant |
L |
1.6308233079466 |
L(r)(E,1)/r! |
Ω |
0.10192645757093 |
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 |
22326k1 1098l1 |
Quadratic twists by: -3 61 |