Atkin-Lehner |
2+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
64192z |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
29675520 |
Modular degree for the optimal curve |
Δ |
-1.8421561519094E+20 |
Discriminant |
Eigenvalues |
2+ 1 -2 4 2 7 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3730793889,-87711422883649] |
[a1,a2,a3,a4,a6] |
Generators |
[88493717629157293326652826131:3035912022524323967667519684608:1245430822822858876646161] |
Generators of the group modulo torsion |
j |
-21907234671397038959171876713/702726803554304 |
j-invariant |
L |
7.7714542808683 |
L(r)(E,1)/r! |
Ω |
0.0096587126271551 |
Real period |
R |
40.23028006351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192cg1 2006e1 |
Quadratic twists by: -4 8 |