Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490ci |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
823680 |
Modular degree for the optimal curve |
Δ |
4096695488435181450 = 2 · 315 · 52 · 7 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -5 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-523481,-108702547] |
[a1,a2,a3,a4,a6] |
Generators |
[-87294:1358359:216] |
Generators of the group modulo torsion |
j |
19448213595889/5022117450 |
j-invariant |
L |
6.334393444569 |
L(r)(E,1)/r! |
Ω |
0.18088010274851 |
Real period |
R |
5.8366410938486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106470cx1 35490o1 |
Quadratic twists by: -3 13 |