Atkin-Lehner |
3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
76725bd |
Isogeny class |
Conductor |
76725 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2112000 |
Modular degree for the optimal curve |
Δ |
-1.2106608145436E+19 |
Discriminant |
Eigenvalues |
-2 3- 5- -3 11+ -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-22125,167410156] |
[a1,a2,a3,a4,a6] |
Generators |
[-500:7312:1] [-299:12136:1] |
Generators of the group modulo torsion |
j |
-841232384/8502857847 |
j-invariant |
L |
4.8780990725792 |
L(r)(E,1)/r! |
Ω |
0.18052099327525 |
Real period |
R |
0.67555841899494 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25575g1 76725bc1 |
Quadratic twists by: -3 5 |