Atkin-Lehner |
2+ 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240bp |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-246758400000000 = -1 · 216 · 34 · 58 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2655,753057] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:576:1] [-31:800:1] |
Generators of the group modulo torsion |
j |
31569941084/3765234375 |
j-invariant |
L |
10.08843269275 |
L(r)(E,1)/r! |
Ω |
0.4263093918337 |
Real period |
R |
1.4790362477075 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000582 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240ks3 14280bt4 |
Quadratic twists by: -4 8 |