Atkin-Lehner |
2- 3+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
20394p |
Isogeny class |
Conductor |
20394 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
41792842726272 = 27 · 39 · 115 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 11+ 3 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35345,-2529791] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:164:1] |
Generators of the group modulo torsion |
j |
248087486032875/2123296384 |
j-invariant |
L |
6.9584283457912 |
L(r)(E,1)/r! |
Ω |
0.34837160951236 |
Real period |
R |
1.4267253201938 |
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 |
20394e1 |
Quadratic twists by: -3 |