Atkin-Lehner |
7+ 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
15799a |
Isogeny class |
Conductor |
15799 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19760 |
Modular degree for the optimal curve |
Δ |
-1806202047979 = -1 · 7 · 375 · 612 |
Discriminant |
Eigenvalues |
0 -2 3 7+ 1 -5 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-889,65165] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:274:1] |
Generators of the group modulo torsion |
j |
-77788863004672/1806202047979 |
j-invariant |
L |
3.0142830454474 |
L(r)(E,1)/r! |
Ω |
0.70125574226025 |
Real period |
R |
2.1492038237947 |
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 |
110593b1 |
Quadratic twists by: -7 |