Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050b |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
21959615742187500 = 22 · 39 · 510 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 3 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-178242,-28028584] |
[a1,a2,a3,a4,a6] |
Generators |
[565:6886:1] |
Generators of the group modulo torsion |
j |
114075/4 |
j-invariant |
L |
4.6991925199864 |
L(r)(E,1)/r! |
Ω |
0.2328528817244 |
Real period |
R |
5.0452376677346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000682 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050dg1 76050du1 76050dh1 |
Quadratic twists by: -3 5 13 |