Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050el |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7547904 |
Modular degree for the optimal curve |
Δ |
-1.0599487090093E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -3 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32265005,-70707296253] |
[a1,a2,a3,a4,a6] |
Generators |
[42869015769849995208121846084:3065692170559276105875685237095:4554441158246953809402176] |
Generators of the group modulo torsion |
j |
-2365581049/6750 |
j-invariant |
L |
11.088386322511 |
L(r)(E,1)/r! |
Ω |
0.031667399890732 |
Real period |
R |
43.768932564607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350d1 15210j1 76050bn1 |
Quadratic twists by: -3 5 13 |