Atkin-Lehner |
2- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
125120bx |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
325120 |
Modular degree for the optimal curve |
Δ |
-2240877178880 = -1 · 212 · 5 · 17 · 235 |
Discriminant |
Eigenvalues |
2- 3 5+ -4 -3 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1108,-73408] |
[a1,a2,a3,a4,a6] |
Generators |
[2496:21160:27] |
Generators of the group modulo torsion |
j |
-36726796224/547089155 |
j-invariant |
L |
8.9553136693961 |
L(r)(E,1)/r! |
Ω |
0.35178863344901 |
Real period |
R |
2.5456517804684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065342 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120bn1 62560g1 |
Quadratic twists by: -4 8 |