Atkin-Lehner |
3+ 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
20295c |
Isogeny class |
Conductor |
20295 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-4604428125 = -1 · 33 · 55 · 113 · 41 |
Discriminant |
Eigenvalues |
1 3+ 5+ 5 11- 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,180,-3175] |
[a1,a2,a3,a4,a6] |
j |
23813300133/170534375 |
j-invariant |
L |
4.1069358130107 |
L(r)(E,1)/r! |
Ω |
0.68448930216845 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20295g1 101475j1 |
Quadratic twists by: -3 5 |