Atkin-Lehner |
2+ 3+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
30504a |
Isogeny class |
Conductor |
30504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1817489328 = -1 · 24 · 3 · 314 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-279,2820] |
[a1,a2,a3,a4,a6] |
Generators |
[-440:28315:512] |
Generators of the group modulo torsion |
j |
-150651000832/113593083 |
j-invariant |
L |
4.9429771665753 |
L(r)(E,1)/r! |
Ω |
1.3657536682647 |
Real period |
R |
7.238460758236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
61008b1 91512j1 |
Quadratic twists by: -4 -3 |