Atkin-Lehner |
3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
30135bd |
Isogeny class |
Conductor |
30135 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
508528125 = 34 · 55 · 72 · 41 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 0 3 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-205,256] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:37:1] |
Generators of the group modulo torsion |
j |
19539165184/10378125 |
j-invariant |
L |
6.1722067821338 |
L(r)(E,1)/r! |
Ω |
1.447604028902 |
Real period |
R |
0.21318698549131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90405l1 30135a1 |
Quadratic twists by: -3 -7 |