Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240dk |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-934211049656156160 = -1 · 242 · 3 · 5 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,195839,32465759] |
[a1,a2,a3,a4,a6] |
Generators |
[6746:225981:8] |
Generators of the group modulo torsion |
j |
3168685387909439/3563732336640 |
j-invariant |
L |
5.2179513493286 |
L(r)(E,1)/r! |
Ω |
0.18583024829359 |
Real period |
R |
7.019781990641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240gl1 3570t1 |
Quadratic twists by: -4 8 |