Atkin-Lehner |
2- 3+ 5- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
30210bd |
Isogeny class |
Conductor |
30210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
3866880 = 28 · 3 · 5 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-320,-2335] |
[a1,a2,a3,a4,a6] |
Generators |
[25:65:1] |
Generators of the group modulo torsion |
j |
3624586490881/3866880 |
j-invariant |
L |
5.7269070972698 |
L(r)(E,1)/r! |
Ω |
1.1288410916977 |
Real period |
R |
2.5366312138127 |
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 |
90630p1 |
Quadratic twists by: -3 |