Atkin-Lehner |
2+ 5+ 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
53950i |
Isogeny class |
Conductor |
53950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10944 |
Modular degree for the optimal curve |
Δ |
-1402700 = -1 · 22 · 52 · 132 · 83 |
Discriminant |
Eigenvalues |
2+ -1 5+ -4 0 13- 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,65] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:13:1] [1:-7:1] |
Generators of the group modulo torsion |
j |
-73530625/56108 |
j-invariant |
L |
5.3692801355837 |
L(r)(E,1)/r! |
Ω |
2.48070659226 |
Real period |
R |
0.54110390889544 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53950bc1 |
Quadratic twists by: 5 |