Atkin-Lehner |
2+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35090m |
Isogeny class |
Conductor |
35090 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-4973126039200 = -1 · 25 · 52 · 118 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 11- 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3633,-136732] |
[a1,a2,a3,a4,a6] |
Generators |
[74:-5:1] |
Generators of the group modulo torsion |
j |
-24729001/23200 |
j-invariant |
L |
2.3238636003904 |
L(r)(E,1)/r! |
Ω |
0.2960756752749 |
Real period |
R |
3.9244419492285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35090bb1 |
Quadratic twists by: -11 |