Atkin-Lehner |
2- 3+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
12726h |
Isogeny class |
Conductor |
12726 |
Conductor |
∏ cp |
260 |
Product of Tamagawa factors cp |
deg |
287040 |
Modular degree for the optimal curve |
Δ |
-4600266694105227264 = -1 · 213 · 39 · 710 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -4 -4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,254959,90453889] |
[a1,a2,a3,a4,a6] |
Generators |
[-209:5396:1] |
Generators of the group modulo torsion |
j |
93120448241218581/233717761220608 |
j-invariant |
L |
8.2962160295631 |
L(r)(E,1)/r! |
Ω |
0.17089567191082 |
Real period |
R |
0.18671346578794 |
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 |
101808m1 12726c1 89082bf1 |
Quadratic twists by: -4 -3 -7 |