Atkin-Lehner |
2- 3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
45408g |
Isogeny class |
Conductor |
45408 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
179200 |
Modular degree for the optimal curve |
Δ |
-25149028360896 = -1 · 26 · 35 · 11 · 435 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 11- -2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-89462,10331964] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:4128:1] [-38:3698:1] |
Generators of the group modulo torsion |
j |
-1237269768719142592/392953568139 |
j-invariant |
L |
7.0606956522301 |
L(r)(E,1)/r! |
Ω |
0.65737296788269 |
Real period |
R |
1.0740775780563 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45408e1 90816bc1 |
Quadratic twists by: -4 8 |