Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104bw |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-138976784481024 = -1 · 28 · 33 · 72 · 177 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -1 -7 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10019,-418943] |
[a1,a2,a3,a4,a6] |
Generators |
[57:578:1] |
Generators of the group modulo torsion |
j |
17997824/22491 |
j-invariant |
L |
3.2910877405732 |
L(r)(E,1)/r! |
Ω |
0.31160437587225 |
Real period |
R |
0.6601094167407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24276i1 5712p1 |
Quadratic twists by: -4 17 |