Atkin-Lehner |
2- 3- 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
117300bf |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
26392500000000 = 28 · 33 · 510 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -2 1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20133,-1078137] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:150:1] |
Generators of the group modulo torsion |
j |
225637236736/6598125 |
j-invariant |
L |
7.4223316393428 |
L(r)(E,1)/r! |
Ω |
0.40151070349808 |
Real period |
R |
1.0270006562101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23460f1 |
Quadratic twists by: 5 |