Atkin-Lehner |
2+ 5+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050h |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1821155035700 = -1 · 22 · 52 · 73 · 11 · 136 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 11- 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-990,-66440] |
[a1,a2,a3,a4,a6] |
Generators |
[111:-1154:1] [54:176:1] |
Generators of the group modulo torsion |
j |
-4299070296145/72846201428 |
j-invariant |
L |
5.8601342679515 |
L(r)(E,1)/r! |
Ω |
0.35897681108178 |
Real period |
R |
4.0811370588888 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50050ch2 |
Quadratic twists by: 5 |