Atkin-Lehner |
2- 3+ 7+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60606w |
Isogeny class |
Conductor |
60606 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
34467840 |
Modular degree for the optimal curve |
Δ |
4.8101674462357E+24 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ -2 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-628737092,-6067011398425] |
[a1,a2,a3,a4,a6] |
Generators |
[51205:-9823235:1] |
Generators of the group modulo torsion |
j |
1018045511637989251239137578563/178154349860582059933696 |
j-invariant |
L |
5.6018454047784 |
L(r)(E,1)/r! |
Ω |
0.030149967249263 |
Real period |
R |
2.1113566597647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000281 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60606d1 |
Quadratic twists by: -3 |