Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104bf |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11280384 |
Modular degree for the optimal curve |
Δ |
-5.2114177508366E+23 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 3 3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16483019,-23305694531] |
[a1,a2,a3,a4,a6] |
j |
5009339741732864/5271114033171 |
j-invariant |
L |
1.808546082552 |
L(r)(E,1)/r! |
Ω |
0.050237393897794 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6069e1 5712z1 |
Quadratic twists by: -4 17 |