Atkin-Lehner |
3+ 5+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
50025h |
Isogeny class |
Conductor |
50025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
641043017578125 = 39 · 511 · 23 · 29 |
Discriminant |
Eigenvalues |
2 3+ 5+ -3 2 4 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-791658,-270849157] |
[a1,a2,a3,a4,a6] |
Generators |
[-1103193381553102363862:59639528179651484433:2153655789232190984] |
Generators of the group modulo torsion |
j |
3511697101967355904/41026753125 |
j-invariant |
L |
9.8250246093801 |
L(r)(E,1)/r! |
Ω |
0.16005358719027 |
Real period |
R |
30.692922232666 |
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 |
10005k1 |
Quadratic twists by: 5 |