Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550dy |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
8.286007893345E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6020901,-5515709552] |
[a1,a2,a3,a4,a6] |
Generators |
[-1213:2406:1] |
Generators of the group modulo torsion |
j |
38282975119927/1314144000 |
j-invariant |
L |
5.4777019756853 |
L(r)(E,1)/r! |
Ω |
0.096582573476342 |
Real period |
R |
2.8357610400486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999916907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110bv1 95550bq1 |
Quadratic twists by: 5 -7 |