Atkin-Lehner |
2- 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
60876v |
Isogeny class |
Conductor |
60876 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
3494016250128 = 24 · 317 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 2 -5 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4953,99565] |
[a1,a2,a3,a4,a6] |
Generators |
[180:2245:1] |
Generators of the group modulo torsion |
j |
1152076147456/299555577 |
j-invariant |
L |
7.8186934732927 |
L(r)(E,1)/r! |
Ω |
0.74020018921837 |
Real period |
R |
5.281472219636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000819 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20292i1 |
Quadratic twists by: -3 |