Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121520f |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
2042386640 = 24 · 5 · 77 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17738,-909293] |
[a1,a2,a3,a4,a6] |
Generators |
[10231221:-63951272:59319] |
Generators of the group modulo torsion |
j |
327890958336/1085 |
j-invariant |
L |
4.5092703595839 |
L(r)(E,1)/r! |
Ω |
0.41368852859522 |
Real period |
R |
10.900158071927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011871 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60760q1 17360n1 |
Quadratic twists by: -4 -7 |