Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576cw |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-5.7205075461115E+21 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 2 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1991099,-3473884429] |
[a1,a2,a3,a4,a6] |
Generators |
[7478:655473:1] |
Generators of the group modulo torsion |
j |
1811564780171264/11870974573731 |
j-invariant |
L |
6.6090954648036 |
L(r)(E,1)/r! |
Ω |
0.067390317129882 |
Real period |
R |
1.0215821405374 |
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 |
1911c1 122304ey1 91728fd1 4368q1 |
Quadratic twists by: -4 8 -3 -7 |