Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
61380m |
Isogeny class |
Conductor |
61380 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2117580537600 = 28 · 36 · 52 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3303,-20898] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:198:1] |
Generators of the group modulo torsion |
j |
21354132816/11346775 |
j-invariant |
L |
4.9072344477902 |
L(r)(E,1)/r! |
Ω |
0.66894772410373 |
Real period |
R |
0.30565632354273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999724 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6820a2 |
Quadratic twists by: -3 |