Atkin-Lehner |
2+ 3+ 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
37170d |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
31222800 = 24 · 33 · 52 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-120,-400] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:95:8] [-5:10:1] |
Generators of the group modulo torsion |
j |
7111117467/1156400 |
j-invariant |
L |
6.2002407733241 |
L(r)(E,1)/r! |
Ω |
1.457778230297 |
Real period |
R |
1.0633031562115 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37170u1 |
Quadratic twists by: -3 |