Atkin-Lehner |
3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
30135bg |
Isogeny class |
Conductor |
30135 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
1085312025 = 32 · 52 · 76 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 2 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-295,1112] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:38:1] |
Generators of the group modulo torsion |
j |
24137569/9225 |
j-invariant |
L |
4.4421972594795 |
L(r)(E,1)/r! |
Ω |
1.4142439530939 |
Real period |
R |
1.5705201531043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90405q1 615a1 |
Quadratic twists by: -3 -7 |