Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850et |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
896 |
Product of Tamagawa factors cp |
deg |
28901376 |
Modular degree for the optimal curve |
Δ |
4.5703592874816E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-243062688,1454831737281] |
[a1,a2,a3,a4,a6] |
j |
863913648706111516969/2486234429521920 |
j-invariant |
L |
4.3478891096833 |
L(r)(E,1)/r! |
Ω |
0.077640876929048 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16170bh1 11550cm1 |
Quadratic twists by: 5 -7 |