Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104bi |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7257923592736997376 = 218 · 34 · 72 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1475152,-676827200] |
[a1,a2,a3,a4,a6] |
Generators |
[-648:2560:1] [1402:2970:1] |
Generators of the group modulo torsion |
j |
3590714269297/73410624 |
j-invariant |
L |
10.648424733351 |
L(r)(E,1)/r! |
Ω |
0.13716083068504 |
Real period |
R |
19.408647279174 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000201 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12138ba2 5712bb2 |
Quadratic twists by: -4 17 |