Atkin-Lehner |
3- 5- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
35145l |
Isogeny class |
Conductor |
35145 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
31360 |
Modular degree for the optimal curve |
Δ |
-133441171875 = -1 · 37 · 57 · 11 · 71 |
Discriminant |
Eigenvalues |
0 3- 5- -2 11+ -2 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-642,18657] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:-158:1] [17:-113:1] |
Generators of the group modulo torsion |
j |
-40142209024/183046875 |
j-invariant |
L |
7.3490536531626 |
L(r)(E,1)/r! |
Ω |
0.90298417446505 |
Real period |
R |
0.29066533979316 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11715f1 |
Quadratic twists by: -3 |