Atkin-Lehner |
2+ 3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350h |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2983392562500 = 22 · 32 · 56 · 74 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3600,-4500] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:285:1] |
Generators of the group modulo torsion |
j |
330369290497/190937124 |
j-invariant |
L |
3.9942992374024 |
L(r)(E,1)/r! |
Ω |
0.67382607916558 |
Real period |
R |
0.74097370243569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999651 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1974h2 |
Quadratic twists by: 5 |