Atkin-Lehner |
2+ 3+ 7+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
36498h |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
21679812 = 22 · 34 · 7 · 112 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 11+ -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-77,105] |
[a1,a2,a3,a4,a6] |
Generators |
[12:27:1] [-2:17:1] |
Generators of the group modulo torsion |
j |
51520374361/21679812 |
j-invariant |
L |
4.215100711754 |
L(r)(E,1)/r! |
Ω |
1.9426456384368 |
Real period |
R |
1.084886669075 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109494bz1 |
Quadratic twists by: -3 |