Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080dx |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
2231201894400 = 212 · 312 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-358788,82718912] |
[a1,a2,a3,a4,a6] |
Generators |
[274:2232:1] |
Generators of the group modulo torsion |
j |
1710605891820736/747225 |
j-invariant |
L |
7.7244549585991 |
L(r)(E,1)/r! |
Ω |
0.6690949699578 |
Real period |
R |
2.8861579198227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999637128 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080eg1 59040q1 39360cb1 |
Quadratic twists by: -4 8 -3 |