Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
60648v |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
15807416016 = 24 · 3 · 7 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2647,52960] |
[a1,a2,a3,a4,a6] |
Generators |
[257:4035:1] |
Generators of the group modulo torsion |
j |
2725888/21 |
j-invariant |
L |
6.4816876976433 |
L(r)(E,1)/r! |
Ω |
1.2471616432078 |
Real period |
R |
5.1971512538288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998745 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296bm1 168a1 |
Quadratic twists by: -4 -19 |