Atkin-Lehner |
2+ 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
41328h |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
-2.5852072202037E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 3 2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,165621,773145882] |
[a1,a2,a3,a4,a6] |
Generators |
[1081:47068:1] |
Generators of the group modulo torsion |
j |
9086072613556122/4675215603667007 |
j-invariant |
L |
7.6472929002034 |
L(r)(E,1)/r! |
Ω |
0.13604212956465 |
Real period |
R |
0.15614633750827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20664l1 41328e1 |
Quadratic twists by: -4 -3 |