Atkin-Lehner |
2- 3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350de |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-576190125000 = -1 · 23 · 33 · 56 · 7 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6680,214947] |
[a1,a2,a3,a4,a6] |
Generators |
[179:2085:1] |
Generators of the group modulo torsion |
j |
-78128296875/1365784 |
j-invariant |
L |
10.414853517242 |
L(r)(E,1)/r! |
Ω |
0.92082592872212 |
Real period |
R |
0.31417608647137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91350c2 3654d1 |
Quadratic twists by: -3 5 |