Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240jh |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
7865424000000 = 210 · 35 · 56 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 0 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5101,36515] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:375:1] |
Generators of the group modulo torsion |
j |
14337547257856/7681078125 |
j-invariant |
L |
8.547103958558 |
L(r)(E,1)/r! |
Ω |
0.64676426655225 |
Real period |
R |
1.3215176541039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240m1 28560ba1 |
Quadratic twists by: -4 8 |