Atkin-Lehner |
3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
90405bk |
Isogeny class |
Conductor |
90405 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
80733925125 = 38 · 53 · 74 · 41 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ -4 -1 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4557,117612] |
[a1,a2,a3,a4,a6] |
Generators |
[77:-473:1] [-49:472:1] |
Generators of the group modulo torsion |
j |
5979172864/46125 |
j-invariant |
L |
5.9095658757026 |
L(r)(E,1)/r! |
Ω |
1.0886931824701 |
Real period |
R |
0.15078133150741 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30135v1 90405u1 |
Quadratic twists by: -3 -7 |