Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104bg |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-22871607960305664 = -1 · 215 · 35 · 7 · 177 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 3 -3 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-173496,28809072] |
[a1,a2,a3,a4,a6] |
Generators |
[-436:4624:1] [74:4046:1] |
Generators of the group modulo torsion |
j |
-5841725401/231336 |
j-invariant |
L |
9.1074429763783 |
L(r)(E,1)/r! |
Ω |
0.37758536333734 |
Real period |
R |
1.5075139061744 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000434 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138k1 5712ba1 |
Quadratic twists by: -4 17 |