Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650m |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-50639971200 = -1 · 27 · 3 · 52 · 74 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 13- 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,280,-10560] |
[a1,a2,a3,a4,a6] |
Generators |
[19:36:1] |
Generators of the group modulo torsion |
j |
96567729935/2025598848 |
j-invariant |
L |
2.8137491748077 |
L(r)(E,1)/r! |
Ω |
0.54683868332566 |
Real period |
R |
0.42879025396417 |
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 |
109200fq1 40950et1 13650da1 95550ea1 |
Quadratic twists by: -4 -3 5 -7 |