Atkin-Lehner |
2- 3+ 5- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
60390y |
Isogeny class |
Conductor |
60390 |
Conductor |
∏ cp |
1800 |
Product of Tamagawa factors cp |
deg |
7084800 |
Modular degree for the optimal curve |
Δ |
-1.1520512480379E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 11- -1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-435242,51641153641] |
[a1,a2,a3,a4,a6] |
Generators |
[4561:377879:1] |
Generators of the group modulo torsion |
j |
-463259011375105947/58530267136000000000 |
j-invariant |
L |
10.551126283185 |
L(r)(E,1)/r! |
Ω |
0.06915468388324 |
Real period |
R |
0.084762686992499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60390a1 |
Quadratic twists by: -3 |