Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
97104bt |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1057536 |
Modular degree for the optimal curve |
Δ |
-75603370757677056 = -1 · 213 · 33 · 72 · 178 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ -3 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-145752,-25125264] |
[a1,a2,a3,a4,a6] |
Generators |
[482:4046:1] |
Generators of the group modulo torsion |
j |
-11984473/2646 |
j-invariant |
L |
1.6257380639515 |
L(r)(E,1)/r! |
Ω |
0.12074823530887 |
Real period |
R |
1.1219888397129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999678459 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138p1 97104cr1 |
Quadratic twists by: -4 17 |