Atkin-Lehner |
5+ 7+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76475f |
Isogeny class |
Conductor |
76475 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
511488 |
Modular degree for the optimal curve |
Δ |
-5845104554734375 = -1 · 56 · 7 · 192 · 236 |
Discriminant |
Eigenvalues |
1 -2 5+ 7+ 4 6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-100076,-12736827] |
[a1,a2,a3,a4,a6] |
Generators |
[8775543:-256913726:9261] |
Generators of the group modulo torsion |
j |
-7093935953448625/374086691503 |
j-invariant |
L |
5.9951598406734 |
L(r)(E,1)/r! |
Ω |
0.1338003292922 |
Real period |
R |
7.4677940796954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982918 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3059b1 |
Quadratic twists by: 5 |