Atkin-Lehner |
2+ 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
35550g |
Isogeny class |
Conductor |
35550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2365440 |
Modular degree for the optimal curve |
Δ |
-5521637376000000000 = -1 · 224 · 33 · 59 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 2 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40447992,-99003259584] |
[a1,a2,a3,a4,a6] |
Generators |
[576812852479975704950950914:193088806335636332350661675793:5115374788176258633656] |
Generators of the group modulo torsion |
j |
-138778060627787972607/104706605056 |
j-invariant |
L |
5.0317949369765 |
L(r)(E,1)/r! |
Ω |
0.029932658940543 |
Real period |
R |
42.025960231025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35550bh1 35550bi1 |
Quadratic twists by: -3 5 |