Atkin-Lehner |
2- 3+ 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
45816f |
Isogeny class |
Conductor |
45816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
4398336 = 28 · 32 · 23 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 4 -4 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41,-3] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:9:1] [-1:6:1] |
Generators of the group modulo torsion |
j |
30505984/17181 |
j-invariant |
L |
7.4743761682432 |
L(r)(E,1)/r! |
Ω |
2.0270368512702 |
Real period |
R |
0.92183525962535 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91632g1 |
Quadratic twists by: -4 |