Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121520h |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
6535637248000 = 211 · 53 · 77 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -5 -1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5896,-125420] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:196:1] |
Generators of the group modulo torsion |
j |
94091762/27125 |
j-invariant |
L |
5.8992817531111 |
L(r)(E,1)/r! |
Ω |
0.55680974181177 |
Real period |
R |
0.66217431225543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004687 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60760d1 17360o1 |
Quadratic twists by: -4 -7 |