Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104bu |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
287232 |
Modular degree for the optimal curve |
Δ |
39845526502992 = 24 · 3 · 7 · 179 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32753,-2250336] |
[a1,a2,a3,a4,a6] |
Generators |
[70468813988986120:-1894419181866891217:91514353222144] |
Generators of the group modulo torsion |
j |
2048000/21 |
j-invariant |
L |
5.0078027064393 |
L(r)(E,1)/r! |
Ω |
0.35510323004752 |
Real period |
R |
28.204771225255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24276g1 97104cg1 |
Quadratic twists by: -4 17 |