Atkin-Lehner |
2+ 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
53958b |
Isogeny class |
Conductor |
53958 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-33980027825553408 = -1 · 230 · 32 · 172 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 -2 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-753525,-252234963] |
[a1,a2,a3,a4,a6] |
j |
-3888965599817609375/2792802484224 |
j-invariant |
L |
0.32406815306931 |
L(r)(E,1)/r! |
Ω |
0.081017038352827 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53958g1 |
Quadratic twists by: -23 |