Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920df |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
4816896 |
Modular degree for the optimal curve |
Δ |
6.5175143829259E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12698785,-17378593345] |
[a1,a2,a3,a4,a6] |
Generators |
[-16406:52497:8] |
Generators of the group modulo torsion |
j |
863913648706111516969/2486234429521920 |
j-invariant |
L |
7.5489950744086 |
L(r)(E,1)/r! |
Ω |
0.079989712697069 |
Real period |
R |
6.7410410129997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995794 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920gb1 2310b1 |
Quadratic twists by: -4 8 |