Atkin-Lehner |
2- 5- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101680q |
Isogeny class |
Conductor |
101680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
103287357440000 = 222 · 54 · 312 · 41 |
Discriminant |
Eigenvalues |
2- 2 5- 0 -2 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17400,-730000] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:240:1] |
Generators of the group modulo torsion |
j |
142244822676601/25216640000 |
j-invariant |
L |
11.517352265262 |
L(r)(E,1)/r! |
Ω |
0.42073430079453 |
Real period |
R |
3.4218009536782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010099 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12710j1 |
Quadratic twists by: -4 |