Atkin-Lehner |
2- 3+ 7+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
28938h |
Isogeny class |
Conductor |
28938 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-2637875787595776 = -1 · 219 · 39 · 7 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -3 13+ 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,15695,2358863] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-1712:1] |
Generators of the group modulo torsion |
j |
427568736881447279/2637875787595776 |
j-invariant |
L |
7.1313365033862 |
L(r)(E,1)/r! |
Ω |
0.3298970318305 |
Real period |
R |
0.56886462132685 |
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 |
86814f1 |
Quadratic twists by: -3 |