Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050bp |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-8083217610000000 = -1 · 27 · 314 · 57 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 1 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30042,-4759884] |
[a1,a2,a3,a4,a6] |
j |
-1557701041/4199040 |
j-invariant |
L |
0.67345644824602 |
L(r)(E,1)/r! |
Ω |
0.16836410634072 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350cy1 15210bq1 76050es1 |
Quadratic twists by: -3 5 13 |