Atkin-Lehner |
3- 5- 23+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
35535d |
Isogeny class |
Conductor |
35535 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
231552 |
Modular degree for the optimal curve |
Δ |
-347424029296875 = -1 · 36 · 59 · 23 · 1032 |
Discriminant |
Eigenvalues |
-2 3- 5- -3 -4 2 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,3710,893794] |
[a1,a2,a3,a4,a6] |
Generators |
[1496:-57938:1] [-422:5951:8] |
Generators of the group modulo torsion |
j |
5645837515526144/347424029296875 |
j-invariant |
L |
5.3512817600198 |
L(r)(E,1)/r! |
Ω |
0.41086702577505 |
Real period |
R |
0.12059596433149 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106605e1 |
Quadratic twists by: -3 |