Atkin-Lehner |
2- 5- 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
101680bg |
Isogeny class |
Conductor |
101680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1613864960000 = 216 · 54 · 312 · 41 |
Discriminant |
Eigenvalues |
2- 2 5- 0 2 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55720,-5043600] |
[a1,a2,a3,a4,a6] |
Generators |
[12420:1383840:1] |
Generators of the group modulo torsion |
j |
4670946377594281/394010000 |
j-invariant |
L |
11.023683503991 |
L(r)(E,1)/r! |
Ω |
0.3107408335581 |
Real period |
R |
4.4344363111927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016681 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12710g2 |
Quadratic twists by: -4 |