Atkin-Lehner |
2- 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
41748f |
Isogeny class |
Conductor |
41748 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
122304 |
Modular degree for the optimal curve |
Δ |
-100255792546224 = -1 · 24 · 37 · 79 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -1 1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15549,-883098] |
[a1,a2,a3,a4,a6] |
Generators |
[149:293:1] |
Generators of the group modulo torsion |
j |
-643956736/155277 |
j-invariant |
L |
6.2661721017365 |
L(r)(E,1)/r! |
Ω |
0.21107830695661 |
Real period |
R |
4.9477467960269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125244be1 41748p1 |
Quadratic twists by: -3 -7 |