Atkin-Lehner |
2+ 3- 7+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
76986i |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
-42502066274304 = -1 · 220 · 36 · 7 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 3 13+ 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39438,-3020972] |
[a1,a2,a3,a4,a6] |
Generators |
[305811:-40345:1331] |
Generators of the group modulo torsion |
j |
-9305656686742753/58301874176 |
j-invariant |
L |
6.3361303988815 |
L(r)(E,1)/r! |
Ω |
0.16932758292691 |
Real period |
R |
9.3548409075169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001166 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8554l1 |
Quadratic twists by: -3 |