Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
93600ep |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-93544449523200 = -1 · 29 · 39 · 52 · 135 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13- 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2805,-461810] |
[a1,a2,a3,a4,a6] |
Generators |
[209:3042:1] [89:702:1] |
Generators of the group modulo torsion |
j |
261568120/10024911 |
j-invariant |
L |
10.336994648894 |
L(r)(E,1)/r! |
Ω |
0.289170359219 |
Real period |
R |
0.89367688621906 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000336 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93600em1 31200y1 93600cg1 |
Quadratic twists by: -4 -3 5 |