Atkin-Lehner |
3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92565n |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
5184000 |
Modular degree for the optimal curve |
Δ |
1.8402926690566E+22 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 11- 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7081427,3165541426] |
[a1,a2,a3,a4,a6] |
Generators |
[3776:172049:1] |
Generators of the group modulo torsion |
j |
1126259840967507/527763671875 |
j-invariant |
L |
4.516207532545 |
L(r)(E,1)/r! |
Ω |
0.10945056895203 |
Real period |
R |
2.0631265678304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981473 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92565j1 8415g1 |
Quadratic twists by: -3 -11 |