Atkin-Lehner |
2+ 3+ 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49770f |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
66816 |
Modular degree for the optimal curve |
Δ |
-149338070280 = -1 · 23 · 39 · 5 · 74 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1149,24173] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-104:1] |
Generators of the group modulo torsion |
j |
-8527173507/7587160 |
j-invariant |
L |
4.0872094591238 |
L(r)(E,1)/r! |
Ω |
0.94062830754852 |
Real period |
R |
0.54314884879197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49770bb1 |
Quadratic twists by: -3 |