Atkin-Lehner |
2+ 3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
112338h |
Isogeny class |
Conductor |
112338 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-55998598603639644 = -1 · 22 · 36 · 797 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,54999,10232217] |
[a1,a2,a3,a4,a6] |
Generators |
[2585725:75006483:15625] |
Generators of the group modulo torsion |
j |
103823/316 |
j-invariant |
L |
6.9940863264485 |
L(r)(E,1)/r! |
Ω |
0.24896909811563 |
Real period |
R |
7.0230466317889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999752457 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12482h1 1422c1 |
Quadratic twists by: -3 -79 |