Atkin-Lehner |
2+ 3- 5- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
30810u |
Isogeny class |
Conductor |
30810 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-876236400 = -1 · 24 · 33 · 52 · 13 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,77,1406] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:32:1] [0:37:1] |
Generators of the group modulo torsion |
j |
51437343959/876236400 |
j-invariant |
L |
7.0163641547948 |
L(r)(E,1)/r! |
Ω |
1.1755104029671 |
Real period |
R |
0.99479683280348 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92430bj1 |
Quadratic twists by: -3 |