Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
121032o |
Isogeny class |
Conductor |
121032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-981337183436729088 = -1 · 28 · 39 · 417 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 5 0 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8734476,9935927044] |
[a1,a2,a3,a4,a6] |
Generators |
[1025:45387:1] |
Generators of the group modulo torsion |
j |
-83131122688/1107 |
j-invariant |
L |
4.6395264120185 |
L(r)(E,1)/r! |
Ω |
0.25346067394876 |
Real period |
R |
0.57202246165706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000119333 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40344b1 2952g1 |
Quadratic twists by: -3 41 |