Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050fc |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
698880 |
Modular degree for the optimal curve |
Δ |
-37166730975562500 = -1 · 22 · 36 · 56 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,30895,-9044603] |
[a1,a2,a3,a4,a6] |
Generators |
[4183:268646:1] |
Generators of the group modulo torsion |
j |
351/4 |
j-invariant |
L |
7.5563062823337 |
L(r)(E,1)/r! |
Ω |
0.17974017426626 |
Real period |
R |
3.5033469435043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000855 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8450b1 3042b1 76050bs1 |
Quadratic twists by: -3 5 13 |