Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
104040v |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3234816 |
Modular degree for the optimal curve |
Δ |
-1.9174960984752E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -2 -3 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5348523,4765667222] |
[a1,a2,a3,a4,a6] |
Generators |
[1471:9000:1] |
Generators of the group modulo torsion |
j |
-271395189079204/307546875 |
j-invariant |
L |
7.0493361418997 |
L(r)(E,1)/r! |
Ω |
0.21630992567487 |
Real period |
R |
2.0368159629965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999984102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34680bo1 104040bh1 |
Quadratic twists by: -3 17 |