Atkin-Lehner |
3- 5- 41+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
97785g |
Isogeny class |
Conductor |
97785 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
285600 |
Modular degree for the optimal curve |
Δ |
111908400950925 = 36 · 52 · 415 · 53 |
Discriminant |
Eigenvalues |
0 3- 5- 2 0 -4 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-53922,4792495] |
[a1,a2,a3,a4,a6] |
j |
23784507336392704/153509466325 |
j-invariant |
L |
1.1917855979985 |
L(r)(E,1)/r! |
Ω |
0.59589281956129 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10865b1 |
Quadratic twists by: -3 |