Atkin-Lehner |
2- 3+ 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
57720u |
Isogeny class |
Conductor |
57720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
110822400 = 210 · 32 · 52 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -2 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-200,-900] |
[a1,a2,a3,a4,a6] |
Generators |
[17:18:1] |
Generators of the group modulo torsion |
j |
868327204/108225 |
j-invariant |
L |
6.7924087934496 |
L(r)(E,1)/r! |
Ω |
1.2793832557642 |
Real period |
R |
2.6545637371641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000112 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115440bc1 |
Quadratic twists by: -4 |