Atkin-Lehner |
2- 3+ 5+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
124830bq |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
7982628840000 = 26 · 33 · 54 · 19 · 733 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-462158,121045277] |
[a1,a2,a3,a4,a6] |
j |
404324904220847333667/295652920000 |
j-invariant |
L |
4.9043499075516 |
L(r)(E,1)/r! |
Ω |
0.61304375355981 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
124830n3 |
Quadratic twists by: -3 |