Atkin-Lehner |
2- 3+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
42504p |
Isogeny class |
Conductor |
42504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32640 |
Modular degree for the optimal curve |
Δ |
-53322458112 = -1 · 210 · 35 · 7 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -3 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1328,-21252] |
[a1,a2,a3,a4,a6] |
j |
-253130786500/52072713 |
j-invariant |
L |
0.78216625440373 |
L(r)(E,1)/r! |
Ω |
0.39108312722014 |
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 |
85008p1 127512r1 |
Quadratic twists by: -4 -3 |