Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230en |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-5488619020022476800 = -1 · 212 · 36 · 52 · 73 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-61007,112881431] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:10954:1] |
Generators of the group modulo torsion |
j |
-19443408769/4249907200 |
j-invariant |
L |
11.382567521374 |
L(r)(E,1)/r! |
Ω |
0.19651575372169 |
Real period |
R |
1.2067064285617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001365 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470f1 6930p1 |
Quadratic twists by: -3 -11 |