Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104bc |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-238245916253184 = -1 · 210 · 34 · 7 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 6 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4528,734820] |
[a1,a2,a3,a4,a6] |
Generators |
[88:1350:1] |
Generators of the group modulo torsion |
j |
415292/9639 |
j-invariant |
L |
11.347027056704 |
L(r)(E,1)/r! |
Ω |
0.41705942532791 |
Real period |
R |
3.4009023534268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006849 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48552d1 5712c1 |
Quadratic twists by: -4 17 |