Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742cm |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
552 |
Product of Tamagawa factors cp |
deg |
76944384 |
Modular degree for the optimal curve |
Δ |
-4.909351615891E+27 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 11- 7 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,54696649,3367477572495] |
[a1,a2,a3,a4,a6] |
Generators |
[34115:6686430:1] |
Generators of the group modulo torsion |
j |
167691610314591623/45491430503743488 |
j-invariant |
L |
9.1277700057165 |
L(r)(E,1)/r! |
Ω |
0.033496796484888 |
Real period |
R |
0.49365363116373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006428 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34914d1 4554bb1 |
Quadratic twists by: -3 -23 |