Atkin-Lehner |
3+ 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30135m |
Isogeny class |
Conductor |
30135 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
519140918625 = 3 · 53 · 77 · 412 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 0 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2010,-2010] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:123:1] |
Generators of the group modulo torsion |
j |
7633736209/4412625 |
j-invariant |
L |
2.7879063624983 |
L(r)(E,1)/r! |
Ω |
0.77976791759419 |
Real period |
R |
1.1917675757935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90405w1 4305g1 |
Quadratic twists by: -3 -7 |