Atkin-Lehner |
2+ 3+ 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100050b |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
-2.0165469696E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-993375,437653125] |
[a1,a2,a3,a4,a6] |
Generators |
[15285:196420:27] |
Generators of the group modulo torsion |
j |
-6938155789865069041/1290590060544000 |
j-invariant |
L |
3.0170391397372 |
L(r)(E,1)/r! |
Ω |
0.2076366924598 |
Real period |
R |
7.2651878070535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023286 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20010y1 |
Quadratic twists by: 5 |