Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240ec |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
1398297600 = 210 · 33 · 52 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-365,1875] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:60:1] |
Generators of the group modulo torsion |
j |
5266130944/1365525 |
j-invariant |
L |
7.6374424894109 |
L(r)(E,1)/r! |
Ω |
1.4208809657577 |
Real period |
R |
0.895857648773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000313 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240hf1 14280a1 |
Quadratic twists by: -4 8 |