Atkin-Lehner |
3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
43365b |
Isogeny class |
Conductor |
43365 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-341499375 = -1 · 33 · 54 · 73 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,174,174] |
[a1,a2,a3,a4,a6] |
Generators |
[6:133:8] [6:35:1] |
Generators of the group modulo torsion |
j |
1697936057/995625 |
j-invariant |
L |
4.8686292222887 |
L(r)(E,1)/r! |
Ω |
1.0355159091454 |
Real period |
R |
4.7016459904584 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43365t1 |
Quadratic twists by: -7 |