Atkin-Lehner |
2+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70720d |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
4935776416563200 = 236 · 52 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-142561,-20488065] |
[a1,a2,a3,a4,a6] |
Generators |
[-215:520:1] |
Generators of the group modulo torsion |
j |
1222331589867961/18828492800 |
j-invariant |
L |
3.0715165216019 |
L(r)(E,1)/r! |
Ω |
0.24592601671611 |
Real period |
R |
3.1223989261097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987455 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720v1 2210a1 |
Quadratic twists by: -4 8 |