Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31460c |
Isogeny class |
Conductor |
31460 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-2764704800000 = -1 · 28 · 55 · 112 · 134 |
Discriminant |
Eigenvalues |
2- -1 5+ -5 11- 13+ -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2644,-61400] |
[a1,a2,a3,a4,a6] |
Generators |
[41:338:1] |
Generators of the group modulo torsion |
j |
65965743536/89253125 |
j-invariant |
L |
1.542855014809 |
L(r)(E,1)/r! |
Ω |
0.42972205524006 |
Real period |
R |
1.7951778318047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125840bj1 31460h1 |
Quadratic twists by: -4 -11 |