Atkin-Lehner |
2- 3+ 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
62160bi |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1379952000000000 = 213 · 32 · 59 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2333333296,43383148492096] |
[a1,a2,a3,a4,a6] |
Generators |
[51897722838:394910:1860867] |
Generators of the group modulo torsion |
j |
342999983683000258740998632369/336902343750 |
j-invariant |
L |
3.2420195447593 |
L(r)(E,1)/r! |
Ω |
0.14335128802615 |
Real period |
R |
11.307954010101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000563 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7770z6 |
Quadratic twists by: -4 |