Atkin-Lehner |
2- 3+ 5- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
30210ba |
Isogeny class |
Conductor |
30210 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-10440576000000 = -1 · 213 · 34 · 56 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 0 1 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-31760,2170865] |
[a1,a2,a3,a4,a6] |
Generators |
[93:-227:1] |
Generators of the group modulo torsion |
j |
-3542958359061776641/10440576000000 |
j-invariant |
L |
8.1319514658715 |
L(r)(E,1)/r! |
Ω |
0.72483419471908 |
Real period |
R |
0.071916990660464 |
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 |
90630l1 |
Quadratic twists by: -3 |