Atkin-Lehner |
2- 3+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
26544l |
Isogeny class |
Conductor |
26544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
20385792 = 212 · 32 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1664,26688] |
[a1,a2,a3,a4,a6] |
Generators |
[26:18:1] |
Generators of the group modulo torsion |
j |
124475734657/4977 |
j-invariant |
L |
3.7332044262623 |
L(r)(E,1)/r! |
Ω |
2.026500799261 |
Real period |
R |
0.92109621363677 |
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 |
1659d1 106176bz1 79632w1 |
Quadratic twists by: -4 8 -3 |