Atkin-Lehner |
2- 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370ck |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-155643840 = -1 · 26 · 32 · 5 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,130,-133] |
[a1,a2,a3,a4,a6] |
Generators |
[5:23:1] |
Generators of the group modulo torsion |
j |
49430863/31680 |
j-invariant |
L |
10.856857375932 |
L(r)(E,1)/r! |
Ω |
1.0446623604434 |
Real period |
R |
1.7321158455328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008656 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95370dd1 |
Quadratic twists by: 17 |