Atkin-Lehner |
2+ 5- 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
56120a |
Isogeny class |
Conductor |
56120 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2738656000000 = -1 · 211 · 56 · 23 · 612 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 -4 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1560,-83600] |
[a1,a2,a3,a4,a6] |
Generators |
[155:1850:1] |
Generators of the group modulo torsion |
j |
-205137906482/1337234375 |
j-invariant |
L |
3.1266034222962 |
L(r)(E,1)/r! |
Ω |
0.33830305880488 |
Real period |
R |
3.0806731233455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996127 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112240a2 |
Quadratic twists by: -4 |