Atkin-Lehner |
2+ 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
23850h |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-59252343750000 = -1 · 24 · 33 · 511 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-417,-370259] |
[a1,a2,a3,a4,a6] |
j |
-19034163/140450000 |
j-invariant |
L |
1.1368592440149 |
L(r)(E,1)/r! |
Ω |
0.28421481100372 |
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 |
23850bu1 4770w1 |
Quadratic twists by: -3 5 |