Atkin-Lehner |
2- 3+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
122544q |
Isogeny class |
Conductor |
122544 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3053568 |
Modular degree for the optimal curve |
Δ |
-4.2462824955755E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1594320,1258296831] |
[a1,a2,a3,a4,a6] |
Generators |
[75462:5891473:216] |
Generators of the group modulo torsion |
j |
-1037448262725009408000/982935762864706561 |
j-invariant |
L |
5.6386346693473 |
L(r)(E,1)/r! |
Ω |
0.15299963318867 |
Real period |
R |
4.6067386767741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000084076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30636b1 122544u1 |
Quadratic twists by: -4 -3 |