Atkin-Lehner |
2+ 3+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
49560d |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7162260537600 = 28 · 38 · 52 · 72 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4940,-34188] |
[a1,a2,a3,a4,a6] |
Generators |
[7882:246645:8] |
Generators of the group modulo torsion |
j |
52089777754576/27977580225 |
j-invariant |
L |
6.4378588026597 |
L(r)(E,1)/r! |
Ω |
0.60603642264711 |
Real period |
R |
5.3114454528533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999918 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
99120bf2 |
Quadratic twists by: -4 |