Atkin-Lehner |
2- 5- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
61100m |
Isogeny class |
Conductor |
61100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
784800 |
Modular degree for the optimal curve |
Δ |
-545336593750000 = -1 · 24 · 59 · 135 · 47 |
Discriminant |
Eigenvalues |
2- 0 5- -5 4 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1822625,-947096875] |
[a1,a2,a3,a4,a6] |
Generators |
[118480736267117743450:9289513146254479259875:18361716212179432] |
Generators of the group modulo torsion |
j |
-21427211646312192/17450771 |
j-invariant |
L |
4.0849070833952 |
L(r)(E,1)/r! |
Ω |
0.064967358178745 |
Real period |
R |
31.438149848701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61100s1 |
Quadratic twists by: 5 |