Atkin-Lehner |
2+ 3+ 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60450c |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1741824 |
Modular degree for the optimal curve |
Δ |
5.6407104E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-992375,-119632875] |
[a1,a2,a3,a4,a6] |
Generators |
[-102205:1561417:125] |
Generators of the group modulo torsion |
j |
6917223603906560881/3610054656000000 |
j-invariant |
L |
3.3104272458104 |
L(r)(E,1)/r! |
Ω |
0.16022206376415 |
Real period |
R |
10.330747114132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000323 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090bk1 |
Quadratic twists by: 5 |