Atkin-Lehner |
2- 3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62160bk |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-739135350374400 = -1 · 226 · 35 · 52 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20896,-1743104] |
[a1,a2,a3,a4,a6] |
Generators |
[3786:232750:1] |
Generators of the group modulo torsion |
j |
-246362173188769/180452966400 |
j-invariant |
L |
5.2055350597658 |
L(r)(E,1)/r! |
Ω |
0.19238061100804 |
Real period |
R |
6.7646305837743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999331 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7770u1 |
Quadratic twists by: -4 |