Atkin-Lehner |
2- 3+ 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
120900s |
Isogeny class |
Conductor |
120900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
195748319520000 = 28 · 35 · 54 · 132 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -5 13+ 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17733,-604863] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:546:1] |
Generators of the group modulo torsion |
j |
3854560460800/1223426997 |
j-invariant |
L |
6.7324694223844 |
L(r)(E,1)/r! |
Ω |
0.42407248576018 |
Real period |
R |
2.6459585932877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999927814 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120900y1 |
Quadratic twists by: 5 |