Atkin-Lehner |
2- 3- 5+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
25530bh |
Isogeny class |
Conductor |
25530 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-2110214062500000 = -1 · 25 · 3 · 511 · 233 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -5 -4 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,26849,-1418119] |
[a1,a2,a3,a4,a6] |
j |
2140459652555428751/2110214062500000 |
j-invariant |
L |
1.2635965548347 |
L(r)(E,1)/r! |
Ω |
0.25271931096691 |
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 |
76590bd1 127650h1 |
Quadratic twists by: -3 5 |