Atkin-Lehner |
3- 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
103341s |
Isogeny class |
Conductor |
103341 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1603584 |
Modular degree for the optimal curve |
Δ |
-1751221165143051 = -1 · 32 · 79 · 194 · 37 |
Discriminant |
Eigenvalues |
-2 3- 1 7- 5 7 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-289410,-60056818] |
[a1,a2,a3,a4,a6] |
j |
-22786497355608064/14885134299 |
j-invariant |
L |
1.6466222788639 |
L(r)(E,1)/r! |
Ω |
0.10291389982215 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14763c1 |
Quadratic twists by: -7 |