Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800jt |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-1905120000 = -1 · 28 · 35 · 54 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-933,10863] |
[a1,a2,a3,a4,a6] |
Generators |
[3:90:1] |
Generators of the group modulo torsion |
j |
-11468800/243 |
j-invariant |
L |
8.0618179059617 |
L(r)(E,1)/r! |
Ω |
1.4797525823863 |
Real period |
R |
0.18160283464306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14700r1 58800fo1 58800go1 |
Quadratic twists by: -4 5 -7 |