Atkin-Lehner |
2- 3- 7+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41412h |
Isogeny class |
Conductor |
41412 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11808 |
Modular degree for the optimal curve |
Δ |
-8448048 = -1 · 24 · 32 · 7 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -6 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,51,0] |
[a1,a2,a3,a4,a6] |
j |
899022848/528003 |
j-invariant |
L |
1.366216194846 |
L(r)(E,1)/r! |
Ω |
1.3662161948057 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124236j1 |
Quadratic twists by: -3 |