Atkin-Lehner |
2- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
9016l |
Isogeny class |
Conductor |
9016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-132031042037660528 = -1 · 24 · 714 · 233 |
Discriminant |
Eigenvalues |
2- -3 -2 7- 2 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-412531,-103471781] |
[a1,a2,a3,a4,a6] |
Generators |
[2429:115003:1] |
Generators of the group modulo torsion |
j |
-4124632486295808/70140333767 |
j-invariant |
L |
2.1247394257772 |
L(r)(E,1)/r! |
Ω |
0.0940950958591 |
Real period |
R |
5.6451917243349 |
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 |
18032o1 72128j1 81144v1 1288g1 |
Quadratic twists by: -4 8 -3 -7 |