Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91350dg |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-39956490000000 = -1 · 27 · 39 · 57 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -1 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8395,-71603] |
[a1,a2,a3,a4,a6] |
Generators |
[49:-700:1] |
Generators of the group modulo torsion |
j |
212776173/129920 |
j-invariant |
L |
9.6901281273497 |
L(r)(E,1)/r! |
Ω |
0.37417972960956 |
Real period |
R |
0.92489244266871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012497 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91350m1 18270d1 |
Quadratic twists by: -3 5 |