Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350ev |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
456 |
Product of Tamagawa factors cp |
deg |
1225728 |
Modular degree for the optimal curve |
Δ |
-559530298323763200 = -1 · 219 · 36 · 52 · 74 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-308900,75322567] |
[a1,a2,a3,a4,a6] |
Generators |
[385:3461:1] |
Generators of the group modulo torsion |
j |
-178858087240930785/30701250936832 |
j-invariant |
L |
11.979286788641 |
L(r)(E,1)/r! |
Ω |
0.28053623856222 |
Real period |
R |
0.093643394930063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941706 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10150d1 91350cl1 |
Quadratic twists by: -3 5 |