Atkin-Lehner |
3+ 5- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
20295g |
Isogeny class |
Conductor |
20295 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-3356628103125 = -1 · 39 · 55 · 113 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 5- 5 11+ 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1618,84106] |
[a1,a2,a3,a4,a6] |
Generators |
[16:329:1] |
Generators of the group modulo torsion |
j |
23813300133/170534375 |
j-invariant |
L |
4.2414224081388 |
L(r)(E,1)/r! |
Ω |
0.57771699463675 |
Real period |
R |
0.73416957567705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20295c1 101475h1 |
Quadratic twists by: -3 5 |