Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
106032k |
Isogeny class |
Conductor |
106032 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
10323456 |
Modular degree for the optimal curve |
Δ |
-7.7747982304131E+22 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 0 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46478096,-122711999052] |
[a1,a2,a3,a4,a6] |
Generators |
[239308:117019566:1] |
Generators of the group modulo torsion |
j |
-227696257058/1594323 |
j-invariant |
L |
7.2013884586023 |
L(r)(E,1)/r! |
Ω |
0.028898534827127 |
Real period |
R |
3.1948157116495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999945463 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53016i1 106032j1 |
Quadratic twists by: -4 -47 |