Atkin-Lehner |
2- 3- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
102336cs |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
46592 |
Modular degree for the optimal curve |
Δ |
-1193647104 = -1 · 210 · 37 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 2 13- 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-369,-3321] |
[a1,a2,a3,a4,a6] |
Generators |
[90:837:1] |
Generators of the group modulo torsion |
j |
-5441006848/1165671 |
j-invariant |
L |
10.323189467559 |
L(r)(E,1)/r! |
Ω |
0.53834996415824 |
Real period |
R |
2.7393729968596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999853057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102336s1 25584b1 |
Quadratic twists by: -4 8 |