Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11856p |
Isogeny class |
Conductor |
11856 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
627200 |
Modular degree for the optimal curve |
Δ |
-6.1747746291028E+21 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 -5 13+ 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1623515,-3696416627] |
[a1,a2,a3,a4,a6] |
Generators |
[504364:14825187:343] |
Generators of the group modulo torsion |
j |
115540013304585949184/1507513337183302371 |
j-invariant |
L |
4.1762582450917 |
L(r)(E,1)/r! |
Ω |
0.06580550489915 |
Real period |
R |
2.2665593161306 |
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 |
741d1 47424dm1 35568bt1 |
Quadratic twists by: -4 8 -3 |