Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050r |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
1927867500 = 22 · 33 · 54 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -3 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-792,8516] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:-122:1] [-26:118:1] |
Generators of the group modulo torsion |
j |
114075/4 |
j-invariant |
L |
7.9993983032544 |
L(r)(E,1)/r! |
Ω |
1.4685611921696 |
Real period |
R |
0.15130830748455 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999576 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050du1 76050dg1 76050dv1 |
Quadratic twists by: -3 5 13 |