Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
30492be |
Isogeny class |
Conductor |
30492 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
4561920 |
Modular degree for the optimal curve |
Δ |
1.6013115559162E+24 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81872472,-278562184252] |
[a1,a2,a3,a4,a6] |
Generators |
[-5552:69678:1] |
Generators of the group modulo torsion |
j |
12538427613184/330812181 |
j-invariant |
L |
6.1308367387575 |
L(r)(E,1)/r! |
Ω |
0.050270633707917 |
Real period |
R |
4.0652207770571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968dv1 10164l1 30492o1 |
Quadratic twists by: -4 -3 -11 |