Atkin-Lehner |
2- 3- 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
120780k |
Isogeny class |
Conductor |
120780 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-122289750000 = -1 · 24 · 36 · 56 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ 2 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,747,14877] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:73:1] [1:125:1] |
Generators of the group modulo torsion |
j |
3952191744/10484375 |
j-invariant |
L |
10.985457419428 |
L(r)(E,1)/r! |
Ω |
0.73309490994402 |
Real period |
R |
2.4975068646315 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13420k1 |
Quadratic twists by: -3 |