Atkin-Lehner |
2+ 3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350i |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
54797006250000 = 24 · 34 · 58 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-54875,-4957875] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:180:1] |
Generators of the group modulo torsion |
j |
1169606173160881/3507008400 |
j-invariant |
L |
3.2479816768039 |
L(r)(E,1)/r! |
Ω |
0.31198461085534 |
Real period |
R |
2.602677795453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9870t2 |
Quadratic twists by: 5 |