Atkin-Lehner |
2- 3+ 37- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
97236h |
Isogeny class |
Conductor |
97236 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
472320 |
Modular degree for the optimal curve |
Δ |
-24156126753691248 = -1 · 24 · 39 · 37 · 735 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -1 -1 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51759,5947641] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:1431:1] |
Generators of the group modulo torsion |
j |
48693396416256/76703648941 |
j-invariant |
L |
5.4936608694786 |
L(r)(E,1)/r! |
Ω |
0.25801453900597 |
Real period |
R |
3.5486765552276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97236g1 |
Quadratic twists by: -3 |