Atkin-Lehner |
2- 3- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11322t |
Isogeny class |
Conductor |
11322 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
106624 |
Modular degree for the optimal curve |
Δ |
-287465457349951488 = -1 · 217 · 320 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 3 2 -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-61835,-26450661] |
[a1,a2,a3,a4,a6] |
j |
-35866805252811625/394328473731072 |
j-invariant |
L |
4.454801544684 |
L(r)(E,1)/r! |
Ω |
0.13102357484365 |
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 |
90576bp1 3774a1 |
Quadratic twists by: -4 -3 |