Atkin-Lehner |
2- 3- 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
91650de |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
1674775440000000 = 210 · 36 · 57 · 13 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-37213,-1941583] |
[a1,a2,a3,a4,a6] |
Generators |
[782:20759:1] [-142:767:1] |
Generators of the group modulo torsion |
j |
364744258531849/107185628160 |
j-invariant |
L |
17.242470790016 |
L(r)(E,1)/r! |
Ω |
0.35149401825009 |
Real period |
R |
0.40879004798467 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997695 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18330b1 |
Quadratic twists by: 5 |