Atkin-Lehner |
2- 3- 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60030br |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
69600 |
Modular degree for the optimal curve |
Δ |
77798880 = 25 · 36 · 5 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -3 -1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9122,337601] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-23:1] |
Generators of the group modulo torsion |
j |
115138814303449/106720 |
j-invariant |
L |
9.3954002323946 |
L(r)(E,1)/r! |
Ω |
1.6171393338544 |
Real period |
R |
1.1619778253445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000254 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6670a1 |
Quadratic twists by: -3 |