Atkin-Lehner |
2- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
35090bb |
Isogeny class |
Conductor |
35090 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-2807200 = -1 · 25 · 52 · 112 · 29 |
Discriminant |
Eigenvalues |
2- -2 5- 4 11- -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30,100] |
[a1,a2,a3,a4,a6] |
Generators |
[0:10:1] |
Generators of the group modulo torsion |
j |
-24729001/23200 |
j-invariant |
L |
7.5408179682682 |
L(r)(E,1)/r! |
Ω |
2.3252905401274 |
Real period |
R |
0.32429573157147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35090m1 |
Quadratic twists by: -11 |