Atkin-Lehner |
3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103635bn |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
745472 |
Modular degree for the optimal curve |
Δ |
7777325456105625 = 38 · 54 · 79 · 47 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -6 -2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52929,-1977872] |
[a1,a2,a3,a4,a6] |
Generators |
[-978:13523:8] |
Generators of the group modulo torsion |
j |
557441767/264375 |
j-invariant |
L |
5.2583848052849 |
L(r)(E,1)/r! |
Ω |
0.32975039646843 |
Real period |
R |
3.9866402283413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041448 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34545d1 103635n1 |
Quadratic twists by: -3 -7 |