Atkin-Lehner |
2+ 3- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
67896b |
Isogeny class |
Conductor |
67896 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1600000 |
Modular degree for the optimal curve |
Δ |
-2.2235080691694E+19 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 4 5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3269523,-2286770546] |
[a1,a2,a3,a4,a6] |
Generators |
[6991726:211215969:2744] |
Generators of the group modulo torsion |
j |
-2588924717929700642/14892967069947 |
j-invariant |
L |
7.1182165913358 |
L(r)(E,1)/r! |
Ω |
0.05611760193958 |
Real period |
R |
6.3422316220934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22632f1 |
Quadratic twists by: -3 |