Atkin-Lehner |
2+ 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
102366u |
Isogeny class |
Conductor |
102366 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
5575680 |
Modular degree for the optimal curve |
Δ |
-4.8802314045631E+19 |
Discriminant |
Eigenvalues |
2+ 3- -3 4 11- -5 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1348386,-689708332] |
[a1,a2,a3,a4,a6] |
Generators |
[3116:157678:1] [2317:91690:1] |
Generators of the group modulo torsion |
j |
-1734992444097/312299584 |
j-invariant |
L |
8.1467113522649 |
L(r)(E,1)/r! |
Ω |
0.06937192033993 |
Real period |
R |
2.4465684728671 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999980125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11374h1 102366bt1 |
Quadratic twists by: -3 -11 |