Atkin-Lehner |
2+ 3- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97704d |
Isogeny class |
Conductor |
97704 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3774419638272 = 211 · 310 · 232 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 2 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22035,1255502] |
[a1,a2,a3,a4,a6] |
Generators |
[1378:50868:1] |
Generators of the group modulo torsion |
j |
792511177250/2528091 |
j-invariant |
L |
7.9338002061302 |
L(r)(E,1)/r! |
Ω |
0.78926403790741 |
Real period |
R |
5.0260748176277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941505 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32568e2 |
Quadratic twists by: -3 |