Atkin-Lehner |
2+ 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720l |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
913920 |
Modular degree for the optimal curve |
Δ |
-48006082080000000 = -1 · 211 · 34 · 57 · 115 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11- -4 -8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-724240,237706912] |
[a1,a2,a3,a4,a6] |
Generators |
[492:484:1] [514:-990:1] |
Generators of the group modulo torsion |
j |
-20513599939701522722/23440469765625 |
j-invariant |
L |
8.9593665973104 |
L(r)(E,1)/r! |
Ω |
0.35636913248958 |
Real period |
R |
0.089788185705094 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30360bf1 |
Quadratic twists by: -4 |