Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86800bt |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
138880000000 = 213 · 57 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 -5 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-235408,-44040812] |
[a1,a2,a3,a4,a6] |
Generators |
[-373362:1400:1331] |
Generators of the group modulo torsion |
j |
22542871522249/2170 |
j-invariant |
L |
6.9027353783236 |
L(r)(E,1)/r! |
Ω |
0.2167425103028 |
Real period |
R |
3.9809538086245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004748 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10850u1 17360q1 |
Quadratic twists by: -4 5 |