Atkin-Lehner |
2+ 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200bc |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
471040 |
Modular degree for the optimal curve |
Δ |
-242551968750000 = -1 · 24 · 38 · 59 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43583,-3566838] |
[a1,a2,a3,a4,a6] |
Generators |
[390023324738:-12996113825376:338608873] |
Generators of the group modulo torsion |
j |
-292978006016/7761663 |
j-invariant |
L |
5.9531932793593 |
L(r)(E,1)/r! |
Ω |
0.16495307416656 |
Real period |
R |
18.045111720525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999586779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600bj1 109200cj1 |
Quadratic twists by: -4 5 |