Atkin-Lehner |
3+ 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30135n |
Isogeny class |
Conductor |
30135 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
1201123090125 = 314 · 53 · 72 · 41 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- 0 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5000,127133] |
[a1,a2,a3,a4,a6] |
Generators |
[3716:10903:64] |
Generators of the group modulo torsion |
j |
282178877231104/24512716125 |
j-invariant |
L |
9.7773352684607 |
L(r)(E,1)/r! |
Ω |
0.84340799399927 |
Real period |
R |
1.9321086469073 |
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 |
90405bb1 30135w1 |
Quadratic twists by: -3 -7 |