Atkin-Lehner |
2- 3- 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41412l |
Isogeny class |
Conductor |
41412 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
397720848 = 24 · 3 · 75 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 2 -4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-526,-4723] |
[a1,a2,a3,a4,a6] |
j |
1007827849984/24857553 |
j-invariant |
L |
4.9912269270527 |
L(r)(E,1)/r! |
Ω |
0.99824538541861 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124236ba1 |
Quadratic twists by: -3 |