Atkin-Lehner |
2+ 5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
13090b |
Isogeny class |
Conductor |
13090 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
43922751488000 = 228 · 53 · 7 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11- -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8870,43700] |
[a1,a2,a3,a4,a6] |
Generators |
[55816:280741:512] |
Generators of the group modulo torsion |
j |
77183081315031609/43922751488000 |
j-invariant |
L |
2.514516843045 |
L(r)(E,1)/r! |
Ω |
0.55024790075735 |
Real period |
R |
9.139578141358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104720v1 117810dy1 65450be1 91630bb1 |
Quadratic twists by: -4 -3 5 -7 |