Atkin-Lehner |
2+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
45632b |
Isogeny class |
Conductor |
45632 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-11681792 = -1 · 214 · 23 · 31 |
Discriminant |
Eigenvalues |
2+ -1 0 5 6 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3313,74513] |
[a1,a2,a3,a4,a6] |
j |
-245526946000/713 |
j-invariant |
L |
3.9373573420023 |
L(r)(E,1)/r! |
Ω |
1.9686786709428 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45632t1 2852a1 |
Quadratic twists by: -4 8 |