Atkin-Lehner |
2+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101200b |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-17393750000 = -1 · 24 · 58 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ -3 5+ -4 11+ 1 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,425,-5375] |
[a1,a2,a3,a4,a6] |
Generators |
[40:275:1] |
Generators of the group modulo torsion |
j |
33958656/69575 |
j-invariant |
L |
3.0058051131996 |
L(r)(E,1)/r! |
Ω |
0.64107101559089 |
Real period |
R |
1.1721810177408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037267 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50600l1 20240d1 |
Quadratic twists by: -4 5 |