Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240fg |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
38384640 = 210 · 32 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-141,621] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:21:1] |
Generators of the group modulo torsion |
j |
304900096/37485 |
j-invariant |
L |
5.7419714361785 |
L(r)(E,1)/r! |
Ω |
1.9780622631816 |
Real period |
R |
1.4514132128874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046651 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240dr1 28560br1 |
Quadratic twists by: -4 8 |