Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
74700f |
Isogeny class |
Conductor |
74700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
981504 |
Modular degree for the optimal curve |
Δ |
-12862360234800 = -1 · 24 · 318 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 5 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2955720,1955883805] |
[a1,a2,a3,a4,a6] |
Generators |
[18802:715149:8] |
Generators of the group modulo torsion |
j |
-9793232457951477760/44109603 |
j-invariant |
L |
8.4647628089162 |
L(r)(E,1)/r! |
Ω |
0.47877048684161 |
Real period |
R |
4.4200525309809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24900n1 74700y1 |
Quadratic twists by: -3 5 |