Atkin-Lehner |
2+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121520w |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
15482880 |
Modular degree for the optimal curve |
Δ |
-2.6834247904844E+23 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -2 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35242580,-84308864900] |
[a1,a2,a3,a4,a6] |
Generators |
[9690:695800:1] |
Generators of the group modulo torsion |
j |
-160730613290050429264/8909661865234375 |
j-invariant |
L |
3.5333104217979 |
L(r)(E,1)/r! |
Ω |
0.030882067316951 |
Real period |
R |
4.0861792226176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996908899 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60760y1 17360i1 |
Quadratic twists by: -4 -7 |