Atkin-Lehner |
3+ 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
14763d |
Isogeny class |
Conductor |
14763 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
104899426569 = 310 · 7 · 193 · 37 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36929,-2746834] |
[a1,a2,a3,a4,a6] |
Generators |
[15620726:-561125405:12167] |
Generators of the group modulo torsion |
j |
5569639549110611857/104899426569 |
j-invariant |
L |
2.3267048786658 |
L(r)(E,1)/r! |
Ω |
0.34439599891871 |
Real period |
R |
13.511799707144 |
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 |
44289h1 103341x1 |
Quadratic twists by: -3 -7 |