Atkin-Lehner |
2- 3- 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
41340d |
Isogeny class |
Conductor |
41340 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
29293027920 = 24 · 312 · 5 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-905,-6792] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:63:1] |
Generators of the group modulo torsion |
j |
5128959410176/1830814245 |
j-invariant |
L |
8.8732753763371 |
L(r)(E,1)/r! |
Ω |
0.89608673031777 |
Real period |
R |
1.100250068328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124020g1 |
Quadratic twists by: -3 |