Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41552bc |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2096640 |
Modular degree for the optimal curve |
Δ |
6.7663841820375E+19 |
Discriminant |
Eigenvalues |
2- 0 4 7- 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13452068,18986169895] |
[a1,a2,a3,a4,a6] |
Generators |
[6771057337541866054507439747220:-59126189002080098549749219544633:3556607612754223757425032000] |
Generators of the group modulo torsion |
j |
143015349373955260416/35945822860997 |
j-invariant |
L |
7.7010216542944 |
L(r)(E,1)/r! |
Ω |
0.19066271073314 |
Real period |
R |
40.390811735961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10388f1 5936o1 |
Quadratic twists by: -4 -7 |