Atkin-Lehner |
2+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350a |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-903525553781200 = -1 · 24 · 52 · 7 · 199 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 3 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,23578,380996] |
[a1,a2,a3,a4,a6] |
Generators |
[1460:61001:64] |
Generators of the group modulo torsion |
j |
179685/112 |
j-invariant |
L |
4.3267839395486 |
L(r)(E,1)/r! |
Ω |
0.30837792478105 |
Real period |
R |
3.5076958650531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000122576 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350dj1 126350ca1 |
Quadratic twists by: 5 -19 |