Atkin-Lehner |
2+ 3+ 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
93240a |
Isogeny class |
Conductor |
93240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
801792 |
Modular degree for the optimal curve |
Δ |
-874289335500000000 = -1 · 28 · 39 · 59 · 74 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,100332,43291908] |
[a1,a2,a3,a4,a6] |
Generators |
[-234:2646:1] |
Generators of the group modulo torsion |
j |
22167201180672/173509765625 |
j-invariant |
L |
6.0510986899323 |
L(r)(E,1)/r! |
Ω |
0.20491517177793 |
Real period |
R |
1.8456108676166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93240bf1 |
Quadratic twists by: -3 |