Atkin-Lehner |
3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
90405bp |
Isogeny class |
Conductor |
90405 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-3769152998821875 = -1 · 36 · 55 · 79 · 41 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 0 -4 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,38808,-256993] |
[a1,a2,a3,a4,a6] |
Generators |
[217:4287:1] |
Generators of the group modulo torsion |
j |
75365351424/43946875 |
j-invariant |
L |
5.3571302001648 |
L(r)(E,1)/r! |
Ω |
0.26102160891152 |
Real period |
R |
0.5130925962094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10045b1 12915c1 |
Quadratic twists by: -3 -7 |