Atkin-Lehner |
2+ 3+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
62160l |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
559440 = 24 · 33 · 5 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11655,-480438] |
[a1,a2,a3,a4,a6] |
Generators |
[-1690752518:-911436:27270901] |
Generators of the group modulo torsion |
j |
10944043863218176/34965 |
j-invariant |
L |
5.2446254439837 |
L(r)(E,1)/r! |
Ω |
0.45948187025584 |
Real period |
R |
11.414216279651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000002326 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31080q1 |
Quadratic twists by: -4 |