Atkin-Lehner |
2+ 3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91350c |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-2148552000000 = -1 · 29 · 33 · 56 · 73 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -3 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2883,-38459] |
[a1,a2,a3,a4,a6] |
Generators |
[29:248:1] |
Generators of the group modulo torsion |
j |
6280426125/5092864 |
j-invariant |
L |
3.8014243110274 |
L(r)(E,1)/r! |
Ω |
0.45686783846648 |
Real period |
R |
2.0801553411716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035368 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91350de2 3654p1 |
Quadratic twists by: -3 5 |