Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240ik |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1966080 |
Modular degree for the optimal curve |
Δ |
-209820049367040000 = -1 · 216 · 316 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1749441,-891485505] |
[a1,a2,a3,a4,a6] |
j |
-9035286561666509764/3201599874375 |
j-invariant |
L |
2.1003200670099 |
L(r)(E,1)/r! |
Ω |
0.065634998839905 |
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 |
114240be1 28560q1 |
Quadratic twists by: -4 8 |