Atkin-Lehner |
2- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120cm |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
-367145316987699200 = -1 · 227 · 52 · 17 · 235 |
Discriminant |
Eigenvalues |
2- 1 5- 3 0 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6528705,-6423036097] |
[a1,a2,a3,a4,a6] |
Generators |
[91340979301974467:11961316170025607680:5207403265037] |
Generators of the group modulo torsion |
j |
-117399160931444643889/1400548236800 |
j-invariant |
L |
9.4183621949201 |
L(r)(E,1)/r! |
Ω |
0.047223968579518 |
Real period |
R |
24.930036796518 |
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 |
125120bb1 31280l1 |
Quadratic twists by: -4 8 |