Atkin-Lehner |
2- 3- 5- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97110ck |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
220670239140 = 22 · 36 · 5 · 133 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1562,7701] |
[a1,a2,a3,a4,a6] |
Generators |
[22:453:8] |
Generators of the group modulo torsion |
j |
577801395289/302702660 |
j-invariant |
L |
11.879778992671 |
L(r)(E,1)/r! |
Ω |
0.87505940960879 |
Real period |
R |
2.2626614174565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006773 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10790a1 |
Quadratic twists by: -3 |