Atkin-Lehner |
2- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
4150l |
Isogeny class |
Conductor |
4150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-81054687500 = -1 · 22 · 512 · 83 |
Discriminant |
Eigenvalues |
2- -1 5+ -5 3 4 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,937,-7719] |
[a1,a2,a3,a4,a6] |
Generators |
[15:92:1] |
Generators of the group modulo torsion |
j |
5822285399/5187500 |
j-invariant |
L |
4.0548744355032 |
L(r)(E,1)/r! |
Ω |
0.59483047086285 |
Real period |
R |
1.7042143241339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33200u1 37350o1 830a1 |
Quadratic twists by: -4 -3 5 |