Atkin-Lehner |
5- 7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
120575g |
Isogeny class |
Conductor |
120575 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
99360 |
Modular degree for the optimal curve |
Δ |
-92315234375 = -1 · 58 · 73 · 13 · 53 |
Discriminant |
Eigenvalues |
1 1 5- 7+ 2 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,174,-14577] |
[a1,a2,a3,a4,a6] |
Generators |
[27:86:1] [8427:769386:1] |
Generators of the group modulo torsion |
j |
1503815/236327 |
j-invariant |
L |
15.922167934467 |
L(r)(E,1)/r! |
Ω |
0.50587058899069 |
Real period |
R |
10.491594942584 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999970459 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120575f1 |
Quadratic twists by: 5 |