Atkin-Lehner |
2- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70720w |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
294195200 = 212 · 52 · 132 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-601,5415] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-20:1] [-11:104:1] |
Generators of the group modulo torsion |
j |
5870966464/71825 |
j-invariant |
L |
6.4293163708548 |
L(r)(E,1)/r! |
Ω |
1.7354903321416 |
Real period |
R |
0.92615272060736 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000081 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720u1 35360g1 |
Quadratic twists by: -4 8 |