Atkin-Lehner |
2+ 3- 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
20394m |
Isogeny class |
Conductor |
20394 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
6858764689379328 = 212 · 315 · 11 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11+ -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-60372,4104400] |
[a1,a2,a3,a4,a6] |
Generators |
[3272:184988:1] |
Generators of the group modulo torsion |
j |
33381582437346625/9408456364032 |
j-invariant |
L |
3.8607928099593 |
L(r)(E,1)/r! |
Ω |
0.39170561909191 |
Real period |
R |
2.4640907749229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6798j1 |
Quadratic twists by: -3 |