Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4900h |
Isogeny class |
Conductor |
4900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-141237624500000000 = -1 · 28 · 59 · 710 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 6 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1220508,-519712012] |
[a1,a2,a3,a4,a6] |
Generators |
[10657861861:1045549514750:1092727] |
Generators of the group modulo torsion |
j |
-177953104/125 |
j-invariant |
L |
4.5104808328161 |
L(r)(E,1)/r! |
Ω |
0.071815150698481 |
Real period |
R |
15.701703571415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19600cm1 78400bz1 44100co1 980f1 |
Quadratic twists by: -4 8 -3 5 |