Atkin-Lehner |
2+ 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
23850d |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-27949218750 = -1 · 2 · 33 · 510 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 3 2 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2442,-46534] |
[a1,a2,a3,a4,a6] |
j |
-3818360547/66250 |
j-invariant |
L |
1.3568679176534 |
L(r)(E,1)/r! |
Ω |
0.33921697941336 |
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 |
23850bs1 4770s1 |
Quadratic twists by: -3 5 |