Atkin-Lehner |
2+ 3+ 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22134h |
Isogeny class |
Conductor |
22134 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
702956539152 = 24 · 36 · 7 · 172 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 2 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4956,-130176] |
[a1,a2,a3,a4,a6] |
j |
13466493319607497/702956539152 |
j-invariant |
L |
1.1416759598036 |
L(r)(E,1)/r! |
Ω |
0.57083797990179 |
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 |
66402bv1 |
Quadratic twists by: -3 |