Atkin-Lehner |
2+ 3- 5- 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
35670f |
Isogeny class |
Conductor |
35670 |
Conductor |
∏ cp |
91 |
Product of Tamagawa factors cp |
deg |
154336 |
Modular degree for the optimal curve |
Δ |
-296195319843750 = -1 · 2 · 313 · 57 · 29 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -5 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22568,1543556] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:1732:1] |
Generators of the group modulo torsion |
j |
-1271086974466166521/296195319843750 |
j-invariant |
L |
4.6617471465129 |
L(r)(E,1)/r! |
Ω |
0.52152909599115 |
Real period |
R |
0.098226524684411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107010u1 |
Quadratic twists by: -3 |