Atkin-Lehner |
2- 3- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40698bp |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-11112286758048 = -1 · 25 · 312 · 7 · 173 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3560,-179125] |
[a1,a2,a3,a4,a6] |
Generators |
[87:361:1] |
Generators of the group modulo torsion |
j |
-6842767821625/15243191712 |
j-invariant |
L |
9.2670434273033 |
L(r)(E,1)/r! |
Ω |
0.28918387437621 |
Real period |
R |
3.2045505467045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13566k1 |
Quadratic twists by: -3 |