Atkin-Lehner |
7+ 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
15799b |
Isogeny class |
Conductor |
15799 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2968 |
Modular degree for the optimal curve |
Δ |
-584563 = -1 · 7 · 372 · 61 |
Discriminant |
Eigenvalues |
2 -2 -2 7+ -2 -6 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,16,33] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:33:8] |
Generators of the group modulo torsion |
j |
425259008/584563 |
j-invariant |
L |
4.6676642293682 |
L(r)(E,1)/r! |
Ω |
1.9609985732052 |
Real period |
R |
1.1901243308247 |
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 |
110593d1 |
Quadratic twists by: -7 |