Atkin-Lehner |
5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112225a |
Isogeny class |
Conductor |
112225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
186048 |
Modular degree for the optimal curve |
Δ |
-4699421875 = -1 · 56 · 673 |
Discriminant |
Eigenvalues |
0 0 5+ 0 0 0 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-184250,30441031] |
[a1,a2,a3,a4,a6] |
Generators |
[335:2512:1] |
Generators of the group modulo torsion |
j |
-147197952000 |
j-invariant |
L |
4.738827576888 |
L(r)(E,1)/r! |
Ω |
0.9430942262554 |
Real period |
R |
1.2561914425788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999802021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4489a1 112225a2 |
Quadratic twists by: 5 -67 |