Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41382t |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-2443565718 = -1 · 2 · 312 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 3 11- -7 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,27,2371] |
[a1,a2,a3,a4,a6] |
Generators |
[23:110:1] |
Generators of the group modulo torsion |
j |
24167/27702 |
j-invariant |
L |
3.4639065176545 |
L(r)(E,1)/r! |
Ω |
1.1336124603438 |
Real period |
R |
0.76390888395013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13794ba1 41382cp1 |
Quadratic twists by: -3 -11 |