Atkin-Lehner |
2+ 3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
10458m |
Isogeny class |
Conductor |
10458 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-27015642395251776 = -1 · 26 · 37 · 72 · 835 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -1 -4 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45081,8735341] |
[a1,a2,a3,a4,a6] |
Generators |
[90:2279:1] |
Generators of the group modulo torsion |
j |
-13898957473262737/37058494369344 |
j-invariant |
L |
2.1310409215848 |
L(r)(E,1)/r! |
Ω |
0.33119034965085 |
Real period |
R |
0.16086224461487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83664cc1 3486g1 73206l1 |
Quadratic twists by: -4 -3 -7 |