Atkin-Lehner |
2- 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
70800br |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
5664000 = 28 · 3 · 53 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -3 -7 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-693,7257] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-10:1] |
Generators of the group modulo torsion |
j |
1151860736/177 |
j-invariant |
L |
3.497489390479 |
L(r)(E,1)/r! |
Ω |
2.3230913243424 |
Real period |
R |
0.37638311427575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002479 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17700w1 70800cx1 |
Quadratic twists by: -4 5 |