Atkin-Lehner |
3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19425h |
Isogeny class |
Conductor |
19425 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
61891655765625 = 310 · 56 · 72 · 372 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-32913,-2280594] |
[a1,a2,a3,a4,a6] |
j |
252352098250057/3961065969 |
j-invariant |
L |
0.7095790036958 |
L(r)(E,1)/r! |
Ω |
0.3547895018479 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58275o2 777e2 |
Quadratic twists by: -3 5 |