Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050dy |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
114075000000 = 26 · 33 · 58 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 3 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-175805,28416197] |
[a1,a2,a3,a4,a6] |
Generators |
[243:-104:1] |
Generators of the group modulo torsion |
j |
337135557915/64 |
j-invariant |
L |
12.554410896622 |
L(r)(E,1)/r! |
Ω |
0.83064721018282 |
Real period |
R |
1.2595008991108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998344 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050u2 76050m1 76050v1 |
Quadratic twists by: -3 5 13 |