Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462bi |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4193280 |
Modular degree for the optimal curve |
Δ |
-3.6360221641285E+20 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-158163498,-765570848652] |
[a1,a2,a3,a4,a6] |
Generators |
[87034755:-72656199591:125] |
Generators of the group modulo torsion |
j |
-124352595912593543977/103332962304 |
j-invariant |
L |
5.5067722734949 |
L(r)(E,1)/r! |
Ω |
0.021285946775165 |
Real period |
R |
10.77935819123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154be1 2574v1 |
Quadratic twists by: -3 13 |