Atkin-Lehner |
3+ 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
20295b |
Isogeny class |
Conductor |
20295 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
7367085 = 33 · 5 · 113 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5+ 2 11- 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2088,36723] |
[a1,a2,a3,a4,a6] |
j |
37286483853312/272855 |
j-invariant |
L |
1.4037901352721 |
L(r)(E,1)/r! |
Ω |
2.1056852029082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
20295f2 101475i1 |
Quadratic twists by: -3 5 |