Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25410c |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
415941972692400 = 24 · 32 · 52 · 72 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1023178,-398784668] |
[a1,a2,a3,a4,a6] |
Generators |
[-584:322:1] |
Generators of the group modulo torsion |
j |
50239324280699/176400 |
j-invariant |
L |
2.3305517568856 |
L(r)(E,1)/r! |
Ω |
0.15011074920164 |
Real period |
R |
1.940693595629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76230ef2 127050hr2 25410bq2 |
Quadratic twists by: -3 5 -11 |