Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
30912cl |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
-1324548288 = -1 · 26 · 35 · 7 · 233 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -5 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-385,3269] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:69:1] |
Generators of the group modulo torsion |
j |
-98867482624/20696067 |
j-invariant |
L |
4.4453316511596 |
L(r)(E,1)/r! |
Ω |
1.4601988808858 |
Real period |
R |
0.20295553385911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30912b1 7728n1 92736fd1 |
Quadratic twists by: -4 8 -3 |