Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91350bo |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
72837351562500 = 22 · 38 · 59 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-832167,-291980759] |
[a1,a2,a3,a4,a6] |
Generators |
[1904:69923:1] |
Generators of the group modulo torsion |
j |
5595100866606889/6394500 |
j-invariant |
L |
5.0882031299968 |
L(r)(E,1)/r! |
Ω |
0.15806908436242 |
Real period |
R |
2.0118589094116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983565 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30450cf1 18270bs1 |
Quadratic twists by: -3 5 |