Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
4356h |
Isogeny class |
Conductor |
4356 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-3636773800704 = -1 · 28 · 36 · 117 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 11- 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2904,-69212] |
[a1,a2,a3,a4,a6] |
j |
8192/11 |
j-invariant |
L |
2.5212769130601 |
L(r)(E,1)/r! |
Ω |
0.42021281884335 |
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 |
17424ca1 69696di1 484a1 108900cb1 |
Quadratic twists by: -4 8 -3 5 |