Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690bp |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
705024 |
Modular degree for the optimal curve |
Δ |
-121927311099155520 = -1 · 26 · 33 · 5 · 7 · 1710 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1740,-16800723] |
[a1,a2,a3,a4,a6] |
Generators |
[139995:4586247:125] |
Generators of the group modulo torsion |
j |
-289/60480 |
j-invariant |
L |
8.9009204138749 |
L(r)(E,1)/r! |
Ω |
0.1513437348521 |
Real period |
R |
9.8021020629709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000232 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60690bz1 |
Quadratic twists by: 17 |