Atkin-Lehner |
2- 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
61380o |
Isogeny class |
Conductor |
61380 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-198218424278199600 = -1 · 24 · 318 · 52 · 113 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32028,-21306611] |
[a1,a2,a3,a4,a6] |
Generators |
[871470320:-21639037491:1404928] |
Generators of the group modulo torsion |
j |
311505458118656/16994035003275 |
j-invariant |
L |
7.1360382225929 |
L(r)(E,1)/r! |
Ω |
0.15196156607886 |
Real period |
R |
11.739873453871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20460i1 |
Quadratic twists by: -3 |