Atkin-Lehner |
2- 3- 7+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
76986bd |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
8515584 |
Modular degree for the optimal curve |
Δ |
-5.9316473986351E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-96016559,-362127299529] |
[a1,a2,a3,a4,a6] |
Generators |
[55730539:417907422:4913] |
Generators of the group modulo torsion |
j |
-134287192149454417894480297/8136690533107089408 |
j-invariant |
L |
11.442980915472 |
L(r)(E,1)/r! |
Ω |
0.024114676826413 |
Real period |
R |
8.4736339766675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001296 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25662c1 |
Quadratic twists by: -3 |