Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104bz |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-12106422114791424 = -1 · 212 · 3 · 74 · 177 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -5 -5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24661,5507869] |
[a1,a2,a3,a4,a6] |
Generators |
[108:2023:1] |
Generators of the group modulo torsion |
j |
-16777216/122451 |
j-invariant |
L |
3.6455763518656 |
L(r)(E,1)/r! |
Ω |
0.34463540360416 |
Real period |
R |
1.3222583605118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000525 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6069d1 5712r1 |
Quadratic twists by: -4 17 |