Atkin-Lehner |
2- 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240hc |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
423190656000 = 210 · 34 · 53 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2245,27157] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:80:1] [-36:245:1] |
Generators of the group modulo torsion |
j |
1222548865024/413272125 |
j-invariant |
L |
10.636950875117 |
L(r)(E,1)/r! |
Ω |
0.86834538488297 |
Real period |
R |
2.0416129075027 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994663 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240ez1 28560dj1 |
Quadratic twists by: -4 8 |