Atkin-Lehner |
2+ 5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101680l |
Isogeny class |
Conductor |
101680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
584300822476928000 = 210 · 53 · 312 · 416 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -4 4 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2585640,-1600735100] |
[a1,a2,a3,a4,a6] |
Generators |
[-925:620:1] |
Generators of the group modulo torsion |
j |
1866930266798483271844/570606271950125 |
j-invariant |
L |
3.9683187439671 |
L(r)(E,1)/r! |
Ω |
0.11905989412874 |
Real period |
R |
2.7775367273381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990428 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50840j2 |
Quadratic twists by: -4 |