Atkin-Lehner |
3+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22785b |
Isogeny class |
Conductor |
22785 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
29040 |
Modular degree for the optimal curve |
Δ |
-840894665625 = -1 · 311 · 55 · 72 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -2 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1749,34698] |
[a1,a2,a3,a4,a6] |
Generators |
[42:408:1] |
Generators of the group modulo torsion |
j |
12074844345599/17161115625 |
j-invariant |
L |
2.6295517753587 |
L(r)(E,1)/r! |
Ω |
0.60296609994093 |
Real period |
R |
4.3610275529856 |
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 |
68355be1 113925cg1 22785p1 |
Quadratic twists by: -3 5 -7 |