Atkin-Lehner |
2- 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
114192ca |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
6768000 |
Modular degree for the optimal curve |
Δ |
-1.3842476644911E+23 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 2 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2304717,17849763826] |
[a1,a2,a3,a4,a6] |
Generators |
[259347:25985024:27] |
Generators of the group modulo torsion |
j |
453407867428435919/46358174206263296 |
j-invariant |
L |
5.461660419063 |
L(r)(E,1)/r! |
Ω |
0.079409368267213 |
Real period |
R |
1.7194635077819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999681482 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14274k1 12688g1 |
Quadratic twists by: -4 -3 |