Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
97104k |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
-9904771426032 = -1 · 24 · 32 · 77 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -4 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48648,4148991] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:2499:1] |
Generators of the group modulo torsion |
j |
-9528223648000/7411887 |
j-invariant |
L |
5.7662680029882 |
L(r)(E,1)/r! |
Ω |
0.71968428421587 |
Real period |
R |
0.19076711623195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999863015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48552r1 97104m1 |
Quadratic twists by: -4 17 |