Atkin-Lehner |
2- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
77924g |
Isogeny class |
Conductor |
77924 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4029696 |
Modular degree for the optimal curve |
Δ |
-9.1048803084967E+19 |
Discriminant |
Eigenvalues |
2- -2 3 7+ 11- 5 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13533164,19163265988] |
[a1,a2,a3,a4,a6] |
Generators |
[2211:7406:1] |
Generators of the group modulo torsion |
j |
-41281451743312/13712209 |
j-invariant |
L |
5.6798423209023 |
L(r)(E,1)/r! |
Ω |
0.18688241126172 |
Real period |
R |
2.5327166427227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003672 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77924t1 |
Quadratic twists by: -11 |