Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
25230r |
Isogeny class |
Conductor |
25230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1299200 |
Modular degree for the optimal curve |
Δ |
6528215689141050000 = 24 · 32 · 55 · 299 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14257911,-20727590211] |
[a1,a2,a3,a4,a6] |
Generators |
[-10795788751282:3712143727117:4965203816] |
Generators of the group modulo torsion |
j |
22095784790981/450000 |
j-invariant |
L |
6.2399574014483 |
L(r)(E,1)/r! |
Ω |
0.077693754749956 |
Real period |
R |
20.078696870587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75690x1 126150bi1 25230i1 |
Quadratic twists by: -3 5 29 |