Atkin-Lehner |
3+ 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
30135j |
Isogeny class |
Conductor |
30135 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
396864 |
Modular degree for the optimal curve |
Δ |
87601915283203125 = 36 · 513 · 74 · 41 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7+ 2 -3 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-216890,36248918] |
[a1,a2,a3,a4,a6] |
Generators |
[-196:8437:1] |
Generators of the group modulo torsion |
j |
469950526731513856/36485595703125 |
j-invariant |
L |
2.4496829419699 |
L(r)(E,1)/r! |
Ω |
0.33268932839561 |
Real period |
R |
0.28320287622546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90405i1 30135z1 |
Quadratic twists by: -3 -7 |