Atkin-Lehner |
11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
75779f |
Isogeny class |
Conductor |
75779 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1547784 |
Modular degree for the optimal curve |
Δ |
-2997800960977063571 = -1 · 113 · 838 |
Discriminant |
Eigenvalues |
2 -1 -2 0 11- -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,190596,76836525] |
[a1,a2,a3,a4,a6] |
Generators |
[541956:49938329:64] |
Generators of the group modulo torsion |
j |
339968/1331 |
j-invariant |
L |
7.0864803703705 |
L(r)(E,1)/r! |
Ω |
0.18057297521332 |
Real period |
R |
4.3604903029444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005429 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75779g1 |
Quadratic twists by: -83 |