Atkin-Lehner |
3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
93615d |
Isogeny class |
Conductor |
93615 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3294720 |
Modular degree for the optimal curve |
Δ |
-8.5047871629278E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 1 -3 7 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,992189,228813158] |
[a1,a2,a3,a4,a6] |
j |
444369620591/349865325 |
j-invariant |
L |
0.98646256998261 |
L(r)(E,1)/r! |
Ω |
0.12330784260674 |
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 |
1185d1 |
Quadratic twists by: -79 |