Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
10950v |
Isogeny class |
Conductor |
10950 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
168192000000 = 214 · 32 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3238,-69469] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:67:1] |
Generators of the group modulo torsion |
j |
240293820313/10764288 |
j-invariant |
L |
6.1211027894755 |
L(r)(E,1)/r! |
Ω |
0.63464596011508 |
Real period |
R |
0.68892210034772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87600cl1 32850w1 438e1 |
Quadratic twists by: -4 -3 5 |