Atkin-Lehner |
2+ 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090c |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1589760 |
Modular degree for the optimal curve |
Δ |
-473624838979488000 = -1 · 28 · 33 · 53 · 7 · 238 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 1 3 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-133583,-38127963] |
[a1,a2,a3,a4,a6] |
Generators |
[329030:16539189:125] |
Generators of the group modulo torsion |
j |
-3366353209/6048000 |
j-invariant |
L |
3.9693514642118 |
L(r)(E,1)/r! |
Ω |
0.11778855108724 |
Real period |
R |
5.6164930556282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999721057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111090i1 |
Quadratic twists by: -23 |